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Working together, it takes two workers 14 hours to complete a task. Ho
[#permalink]
08 Jun 2022, 19:30
08 Jun 2022, 19:30
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Difficulty:
35%
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Question Stats:
71% (01:31) correct
29%
(01:52)
wrong
based on 124
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Working together, it takes two workers 14 hours to complete a task. How long does it take slower worker to do the same task alone, if one worker is twice as fast as the other?
A. 21 hours
B. 24 hours
C. 36 hours
D. 42 hours
E. 45 hours
A. 21 hours
B. 24 hours
C. 36 hours
D. 42 hours
E. 45 hours
Re: Working together, it takes two workers 14 hours to complete a task. Ho
[#permalink]
08 Jun 2022, 20:24
08 Jun 2022, 20:24
Expert Reply
Bunuel wrote:
Working together, it takes two workers 14 hours to complete a task. How long does it take slower worker to do the same task alone, if one worker is twice as fast as the other?
A. 21 hours
B. 24 hours
C. 36 hours
D. 42 hours
E. 45 hours
A. 21 hours
B. 24 hours
C. 36 hours
D. 42 hours
E. 45 hours
Seriously, this is a 500-level question if you can get good at treating fractional rates problems as "Hidden Plug Ins."
We aren't told what the task is, but I hate fractional jobs. Let's just make something up to define the job. We've got something about one worker being twice as fast as the other, so when we add them together, it's like we have 3x the slower one. So, how about we make the job 3x the only other number in the question? Let's make the job solving 42 GMAT questions.
Together, they take 14 hours, so they solve 3 questions per hour. The slower one solves one per hour and the faster one solves 2 per hour. How long would it take the slower one to finish 42 GMAT questions at a rate of 1 question per hour? 42 hours.
Answer choice D.
Re: Working together, it takes two workers 14 hours to complete a task. Ho
[#permalink]
09 Jun 2022, 04:25
09 Jun 2022, 04:25
Let the slower worker does 1 unit of work in an hour. Thus, the faster worker will do 2 units in an hour.
Since the total task was completed by both of them in 14 hours,
Total work = (1+2)*14 = 42 units.
The time taken by the slower worker to complete the task = 42/1 hours = 42 hours.
Thus, the correct option is D.
Since the total task was completed by both of them in 14 hours,
Total work = (1+2)*14 = 42 units.
The time taken by the slower worker to complete the task = 42/1 hours = 42 hours.
Thus, the correct option is D.
