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gamjatang
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It takes John 24 hours to finish a certain amount of work, Updated on: 01 Dec 2005, 00:08
Originally posted by gamjatang on 28 Nov 2005, 06:46.
Last edited by gamjatang on 01 Dec 2005, 00:08, edited 1 time in total.
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29. It takes John 24 hours to finish a certain amount of work, and the same work takes Jane 18 hours. When John and Jane work together, what propotion of work is left after 8 hours?

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It takes John 24 hours to finish a certain amount of work, 28 Nov 2005, 07:14
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1/24 + 1/18 = 7/72

In 1 hr they can finish 7/72 of the work.
In 8 hrs they can finish 56/72 of the work .

Remaining = 16/72 = 2/9
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It takes John 24 hours to finish a certain amount of work, 28 Nov 2005, 21:25
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agree with chris 2/9 ...good one
what is OA ?
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It takes John 24 hours to finish a certain amount of work, 29 Nov 2005, 01:46
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John = 1/24 of the work in 1 hour
Jane = 1/18 of the work in 1 hour

together = 1/24 + 1/18 = 7/72 of the work in 1 hour
So in 8 hours, they do 7/9 of the work leaving 2/9 of the work left.
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It takes John 24 hours to finish a certain amount of work, Updated on: 29 Nov 2005, 23:23
Originally posted by krisrini on 29 Nov 2005, 01:55.
Last edited by krisrini on 29 Nov 2005, 23:23, edited 1 time in total.
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gamjatang
29. It takes John 24 hours to finish a certain amount of work, and the same work takes Jane 18 hours. When John and Jane work together, what propotion of work is left after 8 hours?

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In 1 hour john does 1/24 hours of work.
In 1 hour jane does 1/18 hours of work.
Together they would do 1/24 + 1/18 = 7/72 hours of work in a hour.
In 8 hours they would do 8*7/72 = 56/72 hours of work.
Remaining work = 1 - 56/72 = 16/72 or 2/9

PS:Edited for calcuation mistakes.
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It takes John 24 hours to finish a certain amount of work, 30 Nov 2005, 07:37
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let 1/Jo be the rate per hour at which John works and 1/Ja-rate per hour at which Jane works. Both of them work at the rate (1/Jo +1/Ja)=1/24+1/18=7/72.

So in 8 hours, both will do 7/72*8 =7/9 fraction of the job with 2/9 left for them to finish.



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