Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 24 Aug 2016, 11:47

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# From challenge x A contractor estimated that his 10-man

Author Message
TAGS:

### Hide Tags

Director
Joined: 14 Oct 2003
Posts: 587
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 39 [0], given: 0

From challenge x A contractor estimated that his 10-man [#permalink]

### Show Tags

04 Nov 2005, 20:52
00:00

Difficulty:

(N/A)

Question Stats:

67% (01:38) correct 33% (05:05) wrong based on 8 sessions

### HideShow timer Statistics

From challenge x

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 day that rains and rain is the only factor that deters the crew from working). However, after 5 days of rain, on the 61st day, the contractor hired 6 more workers to finish the construction project ahead of schedule. If the job was completed in 100 days, how many days did it rain during this period?

4
5
6
7
8
_________________

"Wow! Brazil is big." â€”George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005

http://www.nytimes.com/2005/11/21/international/asia/21prexy.html

Director
Joined: 27 Jun 2005
Posts: 506
Location: MS
Followers: 3

Kudos [?]: 77 [0], given: 0

### Show Tags

04 Nov 2005, 21:20
6 days ...

10 M will finish the job in 110 days, and it rained for continous 5 day on 61th day ...so 10 M's have worked for inital 55 days....which means they have finished half of the work ..

Now the Remaining work is done by 16 M so time taken = 55*10/16= 550/16 days

tatal time taken = 55 + 550/16 = 89.375 (Actual No of days the men worked)

but the work was finished in 100 days which means

100 = 89+5(Inital days of Rain) + rain after

Rain After = 100 - 94 = 6

what is OA ....?
SVP
Joined: 24 Sep 2005
Posts: 1890
Followers: 18

Kudos [?]: 254 [0], given: 0

### Show Tags

04 Nov 2005, 21:54
cool_jonny009 wrote:
6 days ...

10 M will finish the job in 110 days, and it rained for continous 5 day on 61th day ...so 10 M's have worked for inital 55 days....which means they have finished half of the work ..

Now the Remaining work is done by 16 M so time taken = 55*10/16= 550/16 days

tatal time taken = 55 + 550/16 = 89.375 (Actual No of days the men worked)

but the work was finished in 100 days which means

100 = 89+5(Inital days of Rain) + rain after

Rain After = 100 - 94 = 6

what is OA ....?

I think the first rain period is from 56th day to 60th day ...coz on 61th day 16 workers starting the rest of work.
so it should be 55(10 workers' completion)+ 5( first raining period) + 35 (working days by 16 workers) + x ( the other raining days)=100 ---> x=5
Director
Joined: 14 Oct 2003
Posts: 587
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 39 [0], given: 0

### Show Tags

04 Nov 2005, 22:13
OA is 5 and here's the OE (go get snacks before reading this):

Explanation

The crew has done half the job on the 60th day - they worked for 55 days as it was raining for 5 days. The other half would have taken the same amount of time if it were not for the 6 new workmen hired. They sped up the process by 60%

They would have worked at the rate of 1/55 of work per day for the remaining 55 days, however with the new crew, they did it at the rate of 1.6/55 or 8/275.

So our equation is 8x/275 = 1.
x = 275/8 = 34.375.
So, the new crew finished the job in 35 days, giving us that it was raining 5 more days (35+5) to finally finish the job by the end of the 100th day.

Alternative Explanation:
Before the contractor hired new men 1/2 of the job was completed. It is because the crew worked for 55 days (on 5 days it was raining and the crew didn't work). Suppose, it did not rain after the crew grew to 16. In how many days would this new crew complete the remaining half of the job? As it would have taken 10 men 55 days to complete the job, 16 men would have done it in 1/(1/55*1.6) = 34.375 days or 35 whole days. Therefore, we could expect the job to have been completed by the end of 60 + 35 = 95th day. In reality, it took five days more than that. So, it was raining for 5 days since the addition to the crew. In all, it rained for 10 days since the project started.
_________________

"Wow! Brazil is big." â€”George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005

http://www.nytimes.com/2005/11/21/international/asia/21prexy.html

SVP
Joined: 05 Apr 2005
Posts: 1731
Followers: 5

Kudos [?]: 63 [0], given: 0

### Show Tags

04 Nov 2005, 22:26
10 people x 110 days = (16 people x 40 days) + (16 people x d days)
(1100 days - 550 days)/16 = d days
d days = 550/16= approx 34 days

so rainy days 40 days - 34 days = 6 days during the period 16 people worked.........
Director
Joined: 27 Jun 2005
Posts: 506
Location: MS
Followers: 3

Kudos [?]: 77 [0], given: 0

### Show Tags

04 Nov 2005, 22:29
Oppss!! i should have considerd 34.375 as 35 days ...
Manager
Joined: 25 May 2011
Posts: 157
Followers: 2

Kudos [?]: 56 [1] , given: 71

### Show Tags

30 Oct 2011, 10:49
1
KUDOS
My approach:
Total work should be done: 10*110=1100
the work done by 10 workers before rain: 10*55=550
the work remained: 1100-550=550

the no. of days needed to complete the task by 16 workers (without rain):
16*days=550
days=34.37=35
So,
55+5+35+X=100
X=5
Re: Work PS   [#permalink] 30 Oct 2011, 10:49
Similar topics Replies Last post
Similar
Topics:
Henrikh lives x blocks from his office 1 14 Aug 2016, 20:44
3 Youseff lives x blocks from his office. It takes him 1 minute per bloc 2 21 Sep 2015, 09:04
116 At his regular hourly rate, Don had estimated the labour cos 32 31 Jul 2012, 10:01
9 A contractor estimated that his 10-man crew could complete 14 16 Jan 2012, 10:19
8 A contractor estimated that his 10-man crew could complete t 9 08 Jan 2011, 12:20
Display posts from previous: Sort by