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Painting Trio

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intrepid17
 Post subject: Painting Trio
 Post Posted: Mon Apr 26, 2010 11:25 pm 
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Students


Posts: 9
Word Translations Question Bank

Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 2 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?


a)1/9
b)1/6
c)1/3
d)7/18
e)4/9


Tom paints room alone for 1 hour and hence completes 1/6 th of total work.

Remaining work = 5/6 of total work

now Peter and tom work for 1 hour , so they complete 1/2 of remaining work = 5/6 * 1/2 of total work.

Doubt : Why does the explantion says that peter and Tom complete 1/2 of total original work ?
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thoppae.saravanan
 Post subject: Re: Painting Trio
 Post Posted: Tue Apr 27, 2010 11:17 am 
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Students


Posts: 33
Tom can complete 1/6 of work in 1 hour.
Peter can complete 1/3 of work in 1 hour.

So the explanation states that tom and peter working together (1/6 + 1/3 = 1/2) will complete half of the remaining work in one hour.
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jnelson0612
 Post subject: Re: Painting Trio
 Post Posted: Fri Nov 26, 2010 12:29 pm 
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ManhattanGMAT Staff


Posts: 1857
Good explanation thoppae. Thank you.

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Jamie Nelson
ManhattanGMAT Instructor
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