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05 Mar 2019, 04:28
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
91% (01:00) correct
9%
(01:50)
wrong
based on 77
sessions
History
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Time
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Working together, each at his or her own constant rate, Jeff and Ashley painted their apartment in 6 hours. Working at his constant rate, Jeff could have painted the whole apartment in 10 hours. How many hours would it have taken Ashley, working at her constant rate, to paint the apartment?
A. 4
B. 12
C. 15
D. 16
E. 20
A. 4
B. 12
C. 15
D. 16
E. 20
05 Mar 2019, 04:48
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Bunuel
Let, Apartment painting work = 60 units
Hourly work of Jeff and Ashley = 60/6 = 10 units
Hourly work of Jeff = 60/10 = 6 units
i.e. Hourly work of Ashley = 10 - 6 = 4 units
Total Time taken by Ashley to finish 60 unit works = 60/4 = 15 hours
Answer: Option C
05 Mar 2019, 05:28
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One way to do this question is to Backsolve, or essentially "try out" the answer choices.
Let's say it takes Ashley 15 hours (choosing answer choice (C)). Ashley would have a 1/15 rate and Jeff's rate is 1/10 each hour. Working together they would do 1/15 + 1/10 each hour, or 2/30 + 3/30 = 5/30 = 1/6 in one hour. Then, yes, it does make sense that together the would do the job in 6 hours.
We got lucky here that (C) ended up being the correct answer, but if our answer had not matched the given information, then we probably could have discerned the correct answer based on how "too big" or "too small" we were.
While not required, sometimes we forget how useful leveraging the answer choices can be!
Let's say it takes Ashley 15 hours (choosing answer choice (C)). Ashley would have a 1/15 rate and Jeff's rate is 1/10 each hour. Working together they would do 1/15 + 1/10 each hour, or 2/30 + 3/30 = 5/30 = 1/6 in one hour. Then, yes, it does make sense that together the would do the job in 6 hours.
We got lucky here that (C) ended up being the correct answer, but if our answer had not matched the given information, then we probably could have discerned the correct answer based on how "too big" or "too small" we were.
While not required, sometimes we forget how useful leveraging the answer choices can be!
