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

It is currently 19 Sep 2018, 06:32

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

Two boys and three girls had estimated to finish a certain paint job

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

Hide Tags

Manager
Manager
User avatar
S
Joined: 16 Jan 2018
Posts: 94
Location: New Zealand
Premium Member
Two boys and three girls had estimated to finish a certain paint job  [#permalink]

Show Tags

New post 19 Aug 2018, 00:28
1
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

38% (02:01) correct 62% (02:16) wrong based on 39 sessions

HideShow timer Statistics

Two boys and three girls had estimated to finish a certain paint job in 20 hours, however, some of the workers left the job before starting, as a result, the paint job now took 1.5 times more time to complete. How many workers left the job?

A. 1

B. 2

C. 3

D. 4

E. 5
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4011
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Two boys and three girls had estimated to finish a certain paint job  [#permalink]

Show Tags

New post 19 Aug 2018, 00:40
blueviper wrote:
Two boys and three girls had estimated to finish a certain paint job in 20 hours, however, some of the workers left the job before starting, as a result, the paint job now took 1.5 times more time to complete. How many workers left the job?

A. 1

B. 2

C. 3

D. 4

E. 5


Total work is \((2 + 3) 20 = 100\) man days

Now we have ,

So, \((5 - w)(30 + 20) = 100\) { w = No of workers left ; 30 + 20 : as it is given the reminaing workers took 1.5 more time to complete the job}

Or, \((5 - w) = 2\)

Or, w = 3 (Answer must be C)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Manager
Manager
avatar
B
Joined: 14 Jun 2018
Posts: 57
Re: Two boys and three girls had estimated to finish a certain paint job  [#permalink]

Show Tags

New post 19 Aug 2018, 06:45
Abhishek009 wrote:
blueviper wrote:
Two boys and three girls had estimated to finish a certain paint job in 20 hours, however, some of the workers left the job before starting, as a result, the paint job now took 1.5 times more time to complete. How many workers left the job?

A. 1

B. 2

C. 3

D. 4

E. 5


Total work is \((2 + 3) 20 = 100\) man days

Now we have ,

So, \((5 - w)(30 + 20) = 100\) { w = No of workers left ; 30 + 20 : as it is given the reminaing workers took 1.5 more time to complete the job}

Or, \((5 - w) = 2\)

Or, w = 3 (Answer must be C)

Uhmm logically speaking , if 1 guy takes 100 hours , 2 should take 50 hours together ? (since 3 left ?)

5 workers takes 20 hours together , so 1 worker should take 100 hours alone.
Some workers left and now instead of 20 , it took them 30 hours to finish.

If 1 workers take 100 hours , 100 workers should take 1 hours.
Or 100/30 workers should take 30 hours = 3.33
Manager
Manager
User avatar
S
Joined: 16 Jan 2018
Posts: 94
Location: New Zealand
Premium Member
Re: Two boys and three girls had estimated to finish a certain paint job  [#permalink]

Show Tags

New post 19 Aug 2018, 07:18
1
pandeyashwin wrote:
Abhishek009 wrote:
blueviper wrote:
Two boys and three girls had estimated to finish a certain paint job in 20 hours, however, some of the workers left the job before starting, as a result, the paint job now took 1.5 times more time to complete. How many workers left the job?

A. 1

B. 2

C. 3

D. 4

E. 5


Total work is \((2 + 3) 20 = 100\) man days

Now we have ,

So, \((5 - w)(30 + 20) = 100\) { w = No of workers left ; 30 + 20 : as it is given the reminaing workers took 1.5 more time to complete the job}

Or, \((5 - w) = 2\)

Or, w = 3 (Answer must be C)

Uhmm logically speaking , if 1 guy takes 100 hours , 2 should take 50 hours together ? (since 3 left ?)

5 workers takes 20 hours together , so 1 worker should take 100 hours alone.
Some workers left and now instead of 20 , it took them 30 hours to finish.

If 1 workers take 100 hours , 100 workers should take 1 hours.
Or 100/30 workers should take 30 hours = 3.33


pandeyashwin you have analysed it correctly, but the new time is 1.5 times more than the original time, which is 20 + 1.5*20 = 50 hrs.


Solution :

We have, 5 workers take 20 hours, which means the rate of 1 worker is 1/100

Say, x workers left the job, the new number of workers is 5-x (working at the same rate of 1/100), and they take 20 + 30 = 50 hours to complete the work.

So, we have the equation (5-x) * 1/100 * 50 hrs = 1

which gives, 5 - x = 2 , or x = 3. So, 3 workers left the job.
Manager
Manager
avatar
B
Joined: 14 Jun 2018
Posts: 57
Re: Two boys and three girls had estimated to finish a certain paint job  [#permalink]

Show Tags

New post 19 Aug 2018, 07:36
blueviper wrote:


pandeyashwin you have analysed it correctly, but the new time is 1.5 times more than the original time, which is 20 + 1.5*20 = 50 hrs.


Solution :

We have, 5 workers take 20 hours, which means the rate of 1 worker is 1/100

Say, x workers left the job, the new number of workers is 5-x (working at the same rate of 1/100), and they take 20 + 30 = 50 hours to complete the work.

So, we have the equation (5-x) * 1/100 * 50 hrs = 1

which gives, 5 - x = 2 , or x = 3. So, 3 workers left the job.


Ahh , thanks for clarifying. I didn't read the question properly. I read it as "1.5 times more"
Re: Two boys and three girls had estimated to finish a certain paint job &nbs [#permalink] 19 Aug 2018, 07:36
Display posts from previous: Sort by

Two boys and three girls had estimated to finish a certain paint job

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

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®.