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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
While working alone at their constant rates computer X can process 240
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24 Feb 2023, 08:35
24 Feb 2023, 08:35
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Question Stats:
71% (01:54) correct
28% (02:02) wrong based on 7 sessions
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While working alone at their constant rates computer X can process 240 files in 4 hours, and comp Y 240 files in 8 hrs. If all files processed by these comp. are the same size how long would it take the two comp. working at the same time at their respective constant rates , to process a total of 240 files?
A. 2hrs
B. 2hrs 20 min
C. 2hrs 40 min
D. 6hrs
E. 6hrs 20 min
A. 2hrs
B. 2hrs 20 min
C. 2hrs 40 min
D. 6hrs
E. 6hrs 20 min
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
Re: While working alone at their constant rates computer X can process 240
[#permalink]
27 Feb 2023, 02:14
27 Feb 2023, 02:14
2
Expert Reply
Let's first calculate the rates of computer X and Y.
Rate of computer X = (240 files) / (4 hours) = 60 files/hour
Rate of computer Y = (240 files) / (8 hours) = 30 files/hour
When working together, the rates of the two computers will add up.
Total rate of both computers = 60 files/hour + 30 files/hour = 90 files/hour
Now, we need to find the time it takes for both computers working together to process 240 files. We can use the formula:
time = amount of work / rate
where "amount of work" is the number of files we want to process, and "rate" is the combined rate of the two computers.
time = (240 files) / (90 files/hour) = 8/3 hours
We can convert this to minutes by multiplying by 60:
time = (8/3) * 60 = 160/3 minutes ≈ 53.3 minutes
Therefore, the answer is approximately 2 hours 53.3 minutes, which is closest to option C: 2 hours 40 minutes.
Rate of computer X = (240 files) / (4 hours) = 60 files/hour
Rate of computer Y = (240 files) / (8 hours) = 30 files/hour
When working together, the rates of the two computers will add up.
Total rate of both computers = 60 files/hour + 30 files/hour = 90 files/hour
Now, we need to find the time it takes for both computers working together to process 240 files. We can use the formula:
time = amount of work / rate
where "amount of work" is the number of files we want to process, and "rate" is the combined rate of the two computers.
time = (240 files) / (90 files/hour) = 8/3 hours
We can convert this to minutes by multiplying by 60:
time = (8/3) * 60 = 160/3 minutes ≈ 53.3 minutes
Therefore, the answer is approximately 2 hours 53.3 minutes, which is closest to option C: 2 hours 40 minutes.
Re: While working alone at their constant rates computer X can process 240
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26 Mar 2024, 12:59
26 Mar 2024, 12:59
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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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