GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Sep 2018, 04:14

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

M07-06

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49303
M07-06  [#permalink]

Show Tags

New post 16 Sep 2014, 00:34
2
4
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

43% (01:59) correct 57% (02:53) wrong based on 136 sessions

HideShow timer Statistics

A contractor estimated that his 10-man crew could complete the construction in 110 days if there was no rain. (Assume the crew does not work on any rainy day and rain is the only factor that can deter the crew from working). However, on the 61-st day, after 5 days of rain, he hired 6 more people and finished the project early. If the job was done in 100 days, how many days after day 60 had rain?

A. 4
B. 5
C. 6
D. 7
E. 8

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49303
Re M07-06  [#permalink]

Show Tags

New post 16 Sep 2014, 00:34
3
3
Official Solution:

A contractor estimated that his 10-man crew could complete the construction in 110 days if there was no rain. (Assume the crew does not work on any rainy day and rain is the only factor that can deter the crew from working). However, on the 61-st day, after 5 days of rain, he hired 6 more people and finished the project early. If the job was done in 100 days, how many days after day 60 had rain?

A. 4
B. 5
C. 6
D. 7
E. 8


Given: 10-man crew needs 110 days to complete the construction.

"On the 61-st day, after 5 days of rain ...": as it was raining for 5 days then they must have been working for 55 days thus completed 1/2 of the job, 1/2 is left (55 days of work for 10 men).

Then contractor "hired 6 more people": speed of construction increased 1.6 times, so the new 16-men crew needed \(\frac{55}{1.6} \approx 34.4\) days to complete the construction, but after they were hired job was done in \(100-60=40\) days. Therefore it rained for 5 days. (They needed MORE than 34 days to finish the job, so if it rained for 6 days they wouldn't be able to finish the job in 100 (40) days.)


Answer: B
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Current Student
User avatar
Joined: 06 Mar 2014
Posts: 252
Location: India
GMAT Date: 04-30-2015
Reviews Badge
Re: M07-06  [#permalink]

Show Tags

New post 13 Oct 2014, 19:49
Bunuel wrote:
Official Solution:

A contractor estimated that his 10-man crew could complete the construction in 110 days if there was no rain. (Assume the crew does not work on any rainy day and rain is the only factor that can deter the crew from working). However, on the 61-st day, after 5 days of rain, he hired 6 more people and finished the project early. If the job was done in 100 days, how many days after day 60 had rain?

A. 4
B. 5
C. 6
D. 7
E. 8


Given: 10-man crew needs 110 days to complete the construction.

"On the 61-st day, after 5 days of rain ...": as it was raining for 5 days then they must have been working for 55 days thus completed 1/2 of the job, 1/2 is left (55 days of work for 10 men).

Then contractor "hired 6 more people": speed of construction increased 1.6 times, so the new 16-men crew needed \(\frac{55}{1.6} \approx 34.4\) days to complete the construction, but after they were hired job was done in \(100-60=40\) days. Therefore it rained for 5 days. (They needed MORE than 34 days to finish the job, so if it rained for 6 days they wouldn't be able to finish the job in 100 (40) days.)


Answer: B


I was just curious, going by the complexity of the question as well as the explanation, is it really GMAT level? I mean i think it is way beyond it but i guess i might be missing something here.
Intern
Intern
avatar
Joined: 22 Jul 2013
Posts: 19
Location: United States
Concentration: Technology, Entrepreneurship
Schools: IIM A '15
GMAT 1: 650 Q46 V34
GMAT 2: 720 Q49 V38
GPA: 3.67
WE: Engineering (Non-Profit and Government)
Reviews Badge
Re: M07-06  [#permalink]

Show Tags

New post 21 Oct 2014, 16:14
Hi Bunuel,

I solved this question as below.,

Let rate per worker be x

Rate Time Work

10x 110 1

10x 55 1/2

Let it rain for K days

16x (40-K) 1/2


so 16x(40-k) = 10x*55
which gives us 640x- 16Kx = 550x==> 16kx= 90x ==> K= 90/16 ==> 5.6 days.

Now I was confused whether to choose 5 or 6 since 5.6 is closer to 6.

But is my logic correct?

Regards,
Arun





earnit wrote:
Bunuel wrote:
Official Solution:

A contractor estimated that his 10-man crew could complete the construction in 110 days if there was no rain. (Assume the crew does not work on any rainy day and rain is the only factor that can deter the crew from working). However, on the 61-st day, after 5 days of rain, he hired 6 more people and finished the project early. If the job was done in 100 days, how many days after day 60 had rain?

A. 4
B. 5
C. 6
D. 7
E. 8


Given: 10-man crew needs 110 days to complete the construction.

"On the 61-st day, after 5 days of rain ...": as it was raining for 5 days then they must have been working for 55 days thus completed 1/2 of the job, 1/2 is left (55 days of work for 10 men).

Then contractor "hired 6 more people": speed of construction increased 1.6 times, so the new 16-men crew needed \(\frac{55}{1.6} \approx 34.4\) days to complete the construction, but after they were hired job was done in \(100-60=40\) days. Therefore it rained for 5 days. (They needed MORE than 34 days to finish the job, so if it rained for 6 days they wouldn't be able to finish the job in 100 (40) days.)


Answer: B


I was just curious, going by the complexity of the question as well as the explanation, is it really GMAT level? I mean i think it is way beyond it but i guess i might be missing something here.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49303
Re: M07-06  [#permalink]

Show Tags

New post 22 Oct 2014, 01:25
amariappan wrote:
Hi Bunuel,

I solved this question as below.,

Let rate per worker be x

Rate Time Work

10x 110 1

10x 55 1/2

Let it rain for K days

16x (40-K) 1/2


so 16x(40-k) = 10x*55
which gives us 640x- 16Kx = 550x==> 16kx= 90x ==> K= 90/16 ==> 5.6 days.

Now I was confused whether to choose 5 or 6 since 5.6 is closer to 6.

But is my logic correct?

Regards,
Arun





earnit wrote:
Bunuel wrote:
Official Solution:

A contractor estimated that his 10-man crew could complete the construction in 110 days if there was no rain. (Assume the crew does not work on any rainy day and rain is the only factor that can deter the crew from working). However, on the 61-st day, after 5 days of rain, he hired 6 more people and finished the project early. If the job was done in 100 days, how many days after day 60 had rain?

A. 4
B. 5
C. 6
D. 7
E. 8


Given: 10-man crew needs 110 days to complete the construction.

"On the 61-st day, after 5 days of rain ...": as it was raining for 5 days then they must have been working for 55 days thus completed 1/2 of the job, 1/2 is left (55 days of work for 10 men).

Then contractor "hired 6 more people": speed of construction increased 1.6 times, so the new 16-men crew needed \(\frac{55}{1.6} \approx 34.4\) days to complete the construction, but after they were hired job was done in \(100-60=40\) days. Therefore it rained for 5 days. (They needed MORE than 34 days to finish the job, so if it rained for 6 days they wouldn't be able to finish the job in 100 (40) days.)


Answer: B


I was just curious, going by the complexity of the question as well as the explanation, is it really GMAT level? I mean i think it is way beyond it but i guess i might be missing something here.


Rain = 5.6 and Work = 34.4.

They needed MORE than 34 days to finish the job, so if it rained for 6 days they wouldn't be able to finish the job in 100 (40) days, which means that it rained for 5 days.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Current Student
avatar
Joined: 18 Sep 2014
Posts: 230
Reviews Badge
Re: M07-06  [#permalink]

Show Tags

New post 09 Dec 2015, 03:04
4
Hi Bunnuel,

Kindly check my approach to this problem and pls comment on it:

Total Work = 10 persons X 110 days = 1100 person-days
Work completed till it rained for 5 days = 10 person X 55 days = 550 person-days.

Pending Work = 1100 - 550 = 550 person-days.
Ideally, from 61st day to 100th day, the manpower rose to 16, which means they can do a work of = 16 person X 40 days = 640 person-days.

But remaining work is only 550 person-days, so the difference is 640-550 = 90 person-days.
Therefore it rained for = 90/16 = 5.625 person-days.
Hence Work happened = 40-5.6 = 34.4 days

Hence it rained for 5 more days.

If u liked my detailed solution, a kudos will help :)
_________________

Kindly press the Kudos to appreciate my post !! :-)

Intern
Intern
User avatar
B
Joined: 29 Aug 2013
Posts: 40
Location: Bangladesh
GPA: 3.76
WE: Supply Chain Management (Transportation)
Re: M07-06  [#permalink]

Show Tags

New post 09 Dec 2015, 03:48
Hi FightToSurvive !

Work completed till it rained for 5 days = 10 person X 55 days = 550 person-days.


How did you get 55 days here till it rained for 5 days starting form 61st day?
_________________

Appreciate Kudos if the post seems worthwhile!

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1088
Re: M07-06  [#permalink]

Show Tags

New post 15 Dec 2015, 10:49
1
1
one man completes 1/1100 of total job in one day
(10)(55)/1100=1/2 of job
d=days to complete remaining 1/2 of job,
16d/1100=1/2
d=34.4 working days
40 total days taken-34.4 working days=5.6 rain days
can't round rain days up to 6 without exceeding 100 total days for job
answer is 5 days
Senior Manager
Senior Manager
User avatar
Joined: 31 Mar 2016
Posts: 395
Location: India
Concentration: Operations, Finance
GMAT 1: 670 Q48 V34
GPA: 3.8
WE: Operations (Commercial Banking)
GMAT ToolKit User Premium Member
Re M07-06  [#permalink]

Show Tags

New post 30 Aug 2016, 05:05
I think this is a high-quality question and I agree with explanation.
Intern
Intern
avatar
B
Joined: 07 Dec 2016
Posts: 2
M07-06  [#permalink]

Show Tags

New post 24 Dec 2016, 16:53
2
Total Estimate for total Man days = 110 days x 10 Men = 1,100 Man days
Total Actual = 55 days x 10 Men = 550 Man days
Total remaining Man days = Total Est. - Total actual = 1,100 - 550 = 550 remaining Man days

Total days needed to complete the job = Remaining Man days / Total workers = 550/16 = 35 days (However, question stated that they took 40 days instead)
Rain days = 40 (Given)- 35 = 5 days

Hope this helped.

A&N
Intern
Intern
avatar
B
Joined: 17 May 2016
Posts: 30
GMAT 1: 740 Q46 V46
Reviews Badge
M07-06  [#permalink]

Show Tags

New post 12 Jan 2017, 05:42
Hi,

It may sound idiot and I apologies first for it,

How do you quickly calculate that \(\frac{550}{16} = 34,4\) ?

In GMAT there are lot of intermediate calculus like this one that makes me lose lot of time and I do not know how to go fast on them

Many thanks in advance for your kind help,
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49303
Re: M07-06  [#permalink]

Show Tags

New post 12 Jan 2017, 06:55
nickimonckom wrote:
Hi,

It may sound idiot and I apologies first for it,

How do you quickly calculate that \(\frac{550}{16} = 34,4\) ?

In GMAT there are lot of intermediate calculus like this one that makes me lose lot of time and I do not know how to go fast on them

Many thanks in advance for your kind help,


\(\frac{550}{16}\)

Reduce by 2: \(\frac{275}{8}\). Next you should simply divide 275 by 8.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior SC Moderator
User avatar
V
Joined: 14 Nov 2016
Posts: 1322
Location: Malaysia
GMAT ToolKit User Premium Member CAT Tests
M07-06  [#permalink]

Show Tags

New post 26 Feb 2017, 20:59
Bunuel wrote:
Official Solution:

A contractor estimated that his 10-man crew could complete the construction in 110 days if there was no rain. (Assume the crew does not work on any rainy day and rain is the only factor that can deter the crew from working). However, on the 61-st day, after 5 days of rain, he hired 6 more people and finished the project early. If the job was done in 100 days, how many days after day 60 had rain?

A. 4
B. 5
C. 6
D. 7
E. 8


Given: 10-man crew needs 110 days to complete the construction.

"On the 61-st day, after 5 days of rain ...": as it was raining for 5 days then they must have been working for 55 days thus completed \(\frac{1}{2}\) of the job, \(\frac{1}{2}\) is left (55 days of work for 10 men).

Then contractor "hired 6 more people": speed of construction increased 1.6 times, so the new 16-men crew needed \(\frac{55}{1.6} \approx 34.4\) days to complete the construction, but after they were hired job was done in \(100-60=40\) days. Therefore it rained for 5 days. (They needed MORE than 34 days to finish the job, so if it rained for 6 days they wouldn't be able to finish the job in 100 (40) days.)


Answer: B


Dear Bunuel, How could we relate the people hired to the speed of construction?

\(Rate = \frac{1}{Time}\)
_________________

"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

Rules for posting in verbal forum | Please DO NOT post short answer in your post!

Advanced Search : https://gmatclub.com/forum/advanced-search/

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49303
Re: M07-06  [#permalink]

Show Tags

New post 27 Feb 2017, 04:27
AustinKL wrote:
Bunuel wrote:
Official Solution:

A contractor estimated that his 10-man crew could complete the construction in 110 days if there was no rain. (Assume the crew does not work on any rainy day and rain is the only factor that can deter the crew from working). However, on the 61-st day, after 5 days of rain, he hired 6 more people and finished the project early. If the job was done in 100 days, how many days after day 60 had rain?

A. 4
B. 5
C. 6
D. 7
E. 8


Given: 10-man crew needs 110 days to complete the construction.

"On the 61-st day, after 5 days of rain ...": as it was raining for 5 days then they must have been working for 55 days thus completed \(\frac{1}{2}\) of the job, \(\frac{1}{2}\) is left (55 days of work for 10 men).

Then contractor "hired 6 more people": speed of construction increased 1.6 times, so the new 16-men crew needed \(\frac{55}{1.6} \approx 34.4\) days to complete the construction, but after they were hired job was done in \(100-60=40\) days. Therefore it rained for 5 days. (They needed MORE than 34 days to finish the job, so if it rained for 6 days they wouldn't be able to finish the job in 100 (40) days.)


Answer: B


Dear Bunuel, How could we relate the people hired to the speed of construction?

\(Rate = \frac{1}{Time}\)


Let me ask you: say 1 man can do a certain job in 10 hours. In how many hours can the job be done by 2 men? In 5 hours, right. So, increasing the number of men twice we reduce the time need by the same rate.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
B
Joined: 10 May 2017
Posts: 27
Re: M07-06  [#permalink]

Show Tags

New post 24 Jun 2017, 01:14
I did it this way and i derived at the right answer as well.

Total work done 110x10=1110

55 days work= 55x10=550.

5 days rain=zero work done

61st day 16 works are working. Work is completed in 100 days. So remaining work done in days is 550/16 is approximaterly 34.xx and round off to the next largest integer 35. So 100-55-5-35=5 days.
Intern
Intern
avatar
B
Joined: 22 Jan 2017
Posts: 34
GMAT ToolKit User
Re: M07-06  [#permalink]

Show Tags

New post 10 Oct 2017, 19:25
Hi Bunuel,

I think this is a good question, but one thing needs to be clarified. Semantically, it is unclear from the question stem whether the job was completed 100 days from when it was started (regardless of how many days the workers did or did not work), or it was completed in 100 working days (instead of 110).

Personally, that confused me for long enough to make me guess and move on.

Thanks!
Intern
Intern
avatar
B
Joined: 02 Jan 2018
Posts: 27
GMAT 1: 730 Q49 V40
Re: M07-06  [#permalink]

Show Tags

New post 06 Jul 2018, 14:21
1
This came towards the end of my CAT - given the complexity of the question, I just skipped it...
Intern
Intern
User avatar
B
Joined: 27 Apr 2011
Posts: 33
GMAT Date: 06-13-2017
GMAT ToolKit User Reviews Badge CAT Tests
Re: M07-06  [#permalink]

Show Tags

New post 30 Aug 2018, 09:55
Short and logical Approach:

(10 man-crew X 110 Days) = 1100 Man-days
Less: (10 man-crew X 55 days (On 61st day, 5 rainy days are already passed.)) = 550 Man-days
Balance Work = 550 Mandays

Total man-crew from 61st day=10+6=16
Hence, Balance work after 60 days will be divided by 16 man-crew to arrive at no of days worked after 60th day.
=550/16 = Appx. 35 days worked appx. (Remember we need to consider part of the day as full day)
Hence, 100 days-60 days = 40 days
40 days-35 days worked=5 rainy days after 60th day.
Intern
Intern
avatar
B
Joined: 19 Nov 2012
Posts: 23
CAT Tests
Re: M07-06  [#permalink]

Show Tags

New post 11 Sep 2018, 01:58
th23autolink_encode_start_25f4nbppW3VybD1odHRwcyYjNTg7Ly9nbWF0Y2x1YiYjNDY7Y29tJiM1ODs0NDMvZm9ydW0vbWVtYmVybGlzdCYjNDY7cGhwP21vZGU9dmlld3Byb2ZpbGUmYW1wO3VuPUZpZ2h0VG9TdXJ2aXZlOjI1ZjRuYnBwXSB0aDIzYXV0b2xpbmtfYmJjb2RlX3N0YXJ0X2JfMjVmNG5icHAgRmlnaHRUb1N1cnZpdmUgdGgyM2F1dG9saW5rX2JiY29kZV9lbmRfYl8yNWY0bmJwcCBbL3VybDoyNWY0bmJwcF0=th23autolink_encode_end_25f4nbpp wrote:
Hi Bunnuel,

Kindly check my approach to this problem and pls comment on it:

Total Work = 10 persons X 110 days = 1100 person-days
Work completed till it rained for 5 days = 10 person X 55 days = 550 person-days.

Pending Work = 1100 - 550 = 550 person-days.
Ideally, from 61st day to 100th day, the manpower rose to 16, which means they can do a work of = 16 person X 40 days = 640 person-days.

But remaining work is only 550 person-days, so the difference is 640-550 = 90 person-days.
Therefore it rained for = 90/16 = 5.625 person-days.
Hence Work happened = 40-5.6 = 34.4 days

Hence it rained for 5 more days.

If u liked my detailed solution, a kudos will help :)


Hi Bunuel, FightToSurvive

I also did some similar to the above as it's simpler than the official solution.
But in the end, we get that it rained for 5.6 days.
And question says team doesn't work on the day it rains. so even if it rained 0.6 of a day, the team wouldn't work on that day.
so ultimately, this approach gives the ans as 6 days of rain which is wrong.

Can you please confirm if the above method is correct? IF yes, then how can it be used to get the ans.

Thanks.
Re: M07-06 &nbs [#permalink] 11 Sep 2018, 01:58
Display posts from previous: Sort by

M07-06

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderators: chetan2u, Bunuel

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.