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Larry can build a model car in 3 hours, Moe can build the same car in
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30 Apr 2021, 05:23
30 Apr 2021, 05:23
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Larry can build a model car in 3 hours, Moe can build the same car in 4 hours, and Fred can build the car in 5 hours. If the two fastest boys work together, how much of the car can they build in one hour?
A. 1/12
B. 2/7
C. 7/12
D. 8/15
E. 9/20
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 1/12
B. 2/7
C. 7/12
D. 8/15
E. 9/20
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 10 Apr 2015
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Re: Larry can build a model car in 3 hours, Moe can build the same car in
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30 Apr 2021, 05:43
30 Apr 2021, 05:43
Carcass wrote:
Larry can build a model car in 3 hours, Moe can build the same car in 4 hours, and Fred can build the car in 5 hours. If the two fastest boys work together, how much of the car can they build in one hour?
A. 1/12
B. 2/7
C. 7/12
D. 8/15
E. 9/20
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 1/12
B. 2/7
C. 7/12
D. 8/15
E. 9/20
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
RULE: If a person can complete an entire job in k hours, then in ONE HOUR, the person can complete 1/k of the job
Example: If it takes Sue 5 hours to complete a job, then in ONE HOUR, she can complete 1/5 of the job. In other words, her work rate is 1/5 of the job per hour
Larry can build a model car in 3 hours, Moe can build the same car in 4 hours, and Fred can build the car in 5 hours.
So, from the above rule, we can conclude that:
Larry can complete 1/3 of the job in ONE HOUR
Moe can complete 1/4 of the job in ONE HOUR
Fred can complete 1/5 of the job in ONE HOUR
If the two fastest boys work together, how much of the car can they build in one hour?
Since Larry and Moe can each complete more of the job (than Fred can) in ONE HOUR, we know that Larry and Moe are the two fastest boys
In ONE HOUR Larry completes 1/3 of the job
In ONE HOUR Moe completes 1/4 of the job
So, working together, they can complete (1/3 + 1/4 ) of the job
1/3 + 1/4 = 4/12 + 3/12 = 7/12
Answer: C
Re: Larry can build a model car in 3 hours, Moe can build the same car in
[#permalink]
21 Jun 2022, 18:41
21 Jun 2022, 18:41
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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