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# GMAT Club Test M00

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GMAT Club Test M00 [#permalink]  22 May 2008, 21:33
Hey guys can someone please explain to me the explanation below?? Its late and i just dont understand how 50/29 = 1:44 ???

A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?

* 1:24
* 1:34
* 1:44
* 1:54
* 2:14

R= 1/5 + 2*(3/4)*(1/5)+2*(1/5)*(1/5)= 58/100
T=100/58 or 50/29

So, T= 50/29 or 1:44.
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Re: GMAT Club Test M00 [#permalink]  22 May 2008, 21:38
chengliu wrote:
Hey guys can someone please explain to me the explanation below?? Its late and i just dont understand how 50/29 = 1:44 ???

A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?

* 1:24
* 1:34
* 1:44
* 1:54
* 2:14

R= 1/5 + 2*(3/4)*(1/5)+2*(1/5)*(1/5)= 58/100
T=100/58 or 50/29

So, T= 50/29 or 1:44.

The unit for T is in hours. T=50/29 means 1 hour and 21/29 of an hour which equals 44 minutes.
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Re: GMAT Club Test M00 [#permalink]  22 May 2008, 21:41
jeez... what a rookie mistake... thanks again.
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Re: GMAT Club Test M00 [#permalink]  22 May 2008, 23:03
lucyqin wrote:
chengliu wrote:
Hey guys can someone please explain to me the explanation below?? Its late and i just dont understand how 50/29 = 1:44 ???

A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?

* 1:24
* 1:34
* 1:44
* 1:54
* 2:14

R= 1/5 + 2*(3/4)*(1/5)+2*(1/5)*(1/5)= 58/100
T=100/58 or 50/29

So, T= 50/29 or 1:44.

The unit for T is in hours. T=50/29 means 1 hour and 21/29 of an hour which equals 44 minutes.

Is there a fast way of calculating the time 44 mims from 21/29 hours ??
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Re: GMAT Club Test M00 [#permalink]  22 May 2008, 23:55
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Expert's post
21/29 is slightly greater (~1/30) than 21/30 or 42/60 or 42 mins.
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Re: GMAT Club Test M00 [#permalink]  15 Feb 2013, 02:20
bunuel,
Is there a method( text book approach) to calculate the time 44 mims from 21/29 hours ??
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Re: GMAT Club Test M00 [#permalink]  15 Feb 2013, 02:32
Expert's post
Sachin9 wrote:
bunuel,
Is there a method( text book approach) to calculate the time 44 mims from 21/29 hours ??

21/29 th of an hour is (21/29) * (60 minutes) = ~43 minutes.

Walker gave perfect way to get approximate result here: gmat-club-test-m00-64356.html#p470808
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Re: GMAT Club Test M00   [#permalink] 15 Feb 2013, 02:32
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