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If a group of 5 skilled workers take 3 hours to finish a job

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If a group of 5 skilled workers take 3 hours to finish a job [#permalink] New post 17 Apr 2012, 00:15
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If a group of 5 skilled workers take 3 hours to finish a job, how long will it take a group of 4 apprentices to do the same job?

(1) An apprentice works at 2/3 the rate of a skilled worker
(2) The 5 skilled workers and the 4 apprentices working together will take 1 22/23 hours to finish the job

Looking for different ways to approach the problem.

Thanks!
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Re: If a group of 5 skilled workers take 3 hours to finish a job [#permalink] New post 17 Apr 2012, 02:22
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If a group of 5 skilled workers take 3 hours to finish a job, how long will it take a group of 4 apprentices to do the same job?

Since 5 skilled workers take 3 hours to finish the job then 1 skilled worker takes 3*5=15 hours to finish the job (so the rate of 1 skilled worker is 1/15 job/hour).

(1) An apprentice works at 2/3 the rate of a skilled worker --> one apprentice takes 3/2*15=45/2 hours to finish the job, hence 4 apprentices will take (45/2)/4=45/8 hours to finish the job. Sufficient.

(2) The 5 skilled workers and the 4 apprentices working together will take 1 22/23 hours to finish the job --> say the rate of one apprentice is x job/hour, then 1/3+4x=23/45. We can find x. Sufficient.

Answer: D.
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Re: Groups to complete the job [#permalink] New post 17 Apr 2012, 00:42
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ikokurin wrote:
(DS) If a group of 5 skilled workers takes 3 hours to complete the job, how long will it take 4 apprentices to finish the job?
a. An apprentice works at 2/3 the rate of a skilled worker
b. The 5 skilled workers and 4 apprentices can finish the job in 1 22/23 hours

Looking for different ways to approach the problem.

Thanks!


5/x=1/3=> x=15
4/y=1/?

statement 1) we have y and hence ? can be found

SUFFICIENT

statement 2) 5/x+4/y= 1 22/23
hence ? can be found

SUFFICIENT

hence D

hope this helps..!!
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Re: If a group of 5 skilled workers take 3 hours to finish a job [#permalink] New post 23 Sep 2012, 22:14
Bunuel wrote:
If a group of 5 skilled workers take 3 hours to finish a job, how long will it take a group of 4 apprentices to do the same job?

Since 5 skilled workers take 3 hours to finish the job then 1 skilled worker takes 3*5=15 hours to finish the job (so the rate of 1 skilled worker is 1/15 job/hour).

(1) An apprentice works at 2/3 the rate of a skilled worker --> one apprentice takes 3/2*15=45/2 hours to finish the job, hence 4 apprentices will take (45/2)/4=45/8 hours to finish the job. Sufficient.

(2) The 5 skilled workers and the 4 apprentices working together will take 1 22/23 hours to finish the job --> say the rate of one apprentice is x job/hour, then 1/3+4x=23/45. We can find x. Sufficient.

Answer: D.


As in the question stem there is nowhere mention that, all 5 skilled workers work at the constant and equal rate, according to me, statement 1 is insufficient, as we have assumed that all are working at constant rates.

Statement 2 is sufficient,

Hence B for me.
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Re: If a group of 5 skilled workers take 3 hours to finish a job [#permalink] New post 26 Jul 2014, 01:05
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Re: If a group of 5 skilled workers take 3 hours to finish a job   [#permalink] 26 Jul 2014, 01:05
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