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If 7 workers can build 7 cars in 7 days, then how many days would it t
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03 Jan 2022, 15:14
03 Jan 2022, 15:14
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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
See more on this topic GRE Work/Rate Problems - Tips and Tricks you must know with examples
More practice questions GRE Problem Solving Questions Directory by Topic & Difficulty
(A) 1
(B) 5
(C) 7
(D) 25
(E) 35
See more on this topic GRE Work/Rate Problems - Tips and Tricks you must know with examples
More practice questions GRE Problem Solving Questions Directory by Topic & Difficulty
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Re: If 7 workers can build 7 cars in 7 days, then how many days would it t
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04 Jan 2022, 07:27
04 Jan 2022, 07:27
2
Rate Work Problem
Rate * Time = Work Done
If 7 workers can build 7 cars in 7 days
=> Let rate of 1 worker be R
=> Rate of 7 workers = 7R
Work done = 7 cars
Time = 7 days
=> Rate * Time = Work Done
=> 7R * 7 = 7
=> R = \(\frac{1}{7}\)
How many days would it take 5 workers to build 5 cars
Rate of 5 workers = 5*R = \(\frac{5}{7}\)
Let time be T
Work done = 5 cars
Rate * Time = Work done
=> 5R * T = 5
=> \(\frac{5}{7}\) * T = 5
=> T = \(\frac{7*5}{5}\) = 7 days
So, Answer will be C
Hope it helps!
Rate * Time = Work Done
If 7 workers can build 7 cars in 7 days
=> Let rate of 1 worker be R
=> Rate of 7 workers = 7R
Work done = 7 cars
Time = 7 days
=> Rate * Time = Work Done
=> 7R * 7 = 7
=> R = \(\frac{1}{7}\)
How many days would it take 5 workers to build 5 cars
Rate of 5 workers = 5*R = \(\frac{5}{7}\)
Let time be T
Work done = 5 cars
Rate * Time = Work done
=> 5R * T = 5
=> \(\frac{5}{7}\) * T = 5
=> T = \(\frac{7*5}{5}\) = 7 days
So, Answer will be C
Hope it helps!
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If 7 workers can build 7 cars in 7 days, then how many days would it t
[#permalink]
04 Jan 2022, 07:48
04 Jan 2022, 07:48
2
Carcass 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
See more on this topic GRE Work/Rate Problems - Tips and Tricks you must know with examples
More practice questions GRE Problem Solving Questions Directory by Topic & Difficulty
(A) 1
(B) 5
(C) 7
(D) 25
(E) 35
See more on this topic GRE Work/Rate Problems - Tips and Tricks you must know with examples
More practice questions GRE Problem Solving Questions Directory by Topic & Difficulty
If 7 workers can build 7 cars in 7 days, then EACH worker can build ONE car in 7 days.
If ONE worker can build ONE car in 7 days, then:
- TWO workers can build TWO cars in 7 days
- THREE workers can build THREE cars in 7 days
- FOUR workers can build FOUR cars in 7 days
- FIVE workers can build FIVE cars in 7 days
Answer: B
