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work rate ps

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Manager
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Joined: 13 Aug 2009
Posts: 149
WE 1: 4 years in IT
work rate ps [#permalink]

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New post 26 Apr 2010, 09:41
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

50% (01:06) correct 50% (00:05) wrong based on 6 sessions

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1. If 7 workers can build 7 cars in 7 days, then how many days would it take 5 workers to build 5 cars?
(A) 1
(B) 5
(C) 7
(D) 25
(E) 35

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/if-7-workers ... 12832.html
1 KUDOS received
CEO
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Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2748
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
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Re: work rate ps [#permalink]

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New post 26 Apr 2010, 09:46
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raghavs wrote:
1. If 7 workers can build 7 cars in 7 days, then how many days would it take 5 workers to build 5 cars?
(A) 1
(B) 5
(C) 7
(D) 25
(E) 35


7 workers ..7 cars...7 days
7 workers 1 car in 1 day
7 workers 5 cars in 5 days
1 worker 5 cars in 5*7 days = 35
5 workers 5 cars in 35/5 = 7 days

hence C
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Joined: 07 Apr 2010
Posts: 24
Re: work rate ps [#permalink]

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New post 26 Apr 2010, 12:47
another way to approach the same problem :idea:

7 workers, 7 days, 7 cars
=> 7 workers do (1/7)th of the work(= 7 cars) per day (rate of work of all workers)
=> 1 worker does (1/(7*7))th of the work(= 7 cars) per day (rate of work for 1 worker)
=> 1 worker takes 49 days to make 7 cars
=> 1 worker takes 7 days to make 1 car
=> 1 worker takes 7*5 days to make 5 cars
=> 5 workers take (7*5)/5 days to make 5 cars

ie, 7.
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Joined: 25 May 2011
Posts: 141
Re: work rate ps [#permalink]

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New post 30 Oct 2011, 11:38
7 cars in 7 days. speed is 1 (of 7 workers)
speed of each worker is 1/7

X=VT
\(5=\frac{5}{7}*T\)

T=7
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Re: work rate ps [#permalink]

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New post 14 Aug 2017, 21:22
Re: work rate ps   [#permalink] 14 Aug 2017, 21:22
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