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Working alone, R can complete a certain kind of job in 9 ho
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07 Feb 2020, 04:43
07 Feb 2020, 04:43
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Working alone, R can complete a certain kind of job in 9 hours. R and S , working together at their respective rates, can complete one of these jobs in 6 hours. In how many hours can S , working alone, complete one of these jobs?
(A) 18
(B) 12
(C) 9
(D) 6
(E) 3
(A) 18
(B) 12
(C) 9
(D) 6
(E) 3
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Re: Working alone, R can complete a certain kind of job in 9 ho
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07 Feb 2020, 07:57
07 Feb 2020, 07:57
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Asif123 wrote:
Working alone, R can complete a certain kind of job in 9 hours. R and S , working together at their respective rates, can complete one of these jobs in 6 hours. In how many hours can S , working alone, complete one of these jobs?
(A) 18 (B) 12 (C) 9 (D) 6 (E) 3
(A) 18 (B) 12 (C) 9 (D) 6 (E) 3
One approach is to assign a "nice" value to the entire job.
So let's use a number that works well with the two given values of 9 hours and 6 hours.
Let's say the job consists of making 54 widgets.
Working alone, R can complete a certain kind of job in 9 hours.
In other words, R can make 54 widgets in 9 hours.
This means R's RATE = 6 widgets per hour
R and S, working together at their respective rates, can complete one of these jobs in 6 hours
In other words, R and S can make 54 widgets in 6 hours.
This means their COMBINED rate = 9 widgets per hour
9 - 6 = 3
So, S's RATE = 3 widgets per hour
In how many hours can S, working alone, complete one of these jobs?
Another words, how much time will it take S to make 54 widgets?
Time = output/rate
So, time = 54/3 = 18 hours
Answer: A
Cheers,
Brent
Re: Working alone, R can complete a certain kind of job in 9 ho
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11 Aug 2022, 01:54
11 Aug 2022, 01:54
Hello from the GRE Prep Club BumpBot!
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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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