7 cars in 7 days

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Tue Nov 15, 2011 3:33 am

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

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Source: Beat The GMAT — Problem Solving | Tue Nov 15, 2011 3:33 am

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Tue Nov 15, 2011 3:36 am

sanju09 wrote: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 can build 7 cars in 7 days.
1 worker can build 7 cars in 7*7 = 49 days
1 worker can build 1 car in 49/7 = 7 days
1 worker can build 5 cars in 7*5 = 35 days
5 workers can build 5 cars in 35/5 = 7 days

The correct answer is C.

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shankar.ashwin: Legendary Member; Posts: 966; Joined: Sat Jan 02, 2010 8:06 amFollowed by: 21 members; Thanked: 230 times

by shankar.ashwin » Tue Nov 15, 2011 3:38 am

Total man hours = 7 days * 7 workers = 49.

Man hour / car = 49/ 7 = 7

for 5 cars you need 5*7 = 35 man hours.

You have 5 workers, so they would need to work for 7 days. C IMO

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