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Multiple Choice Questions

4 men can do a piece of work in 2 hours which 5 women could do in 3 hours or 10 children in 4 hours ...........

Quantitative Aptitude (IB) Time and work

4 men can do a piece of work in 2 hours, which 5 women could do in 3 hours, or 10 children in 4 hours. How long would 1 man, 1 woman and 1 child together take to do the work?

5 7/12 days

5 days

4 days

4 8/13 days

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Explanation:

1man can do a work in 2*4 =8hrs
1woman can do a work in 3*5=15hrs.
1children can do a work in 4*10=40hrs.
1 man, 1 woman and 1 child together take to do the work
=(8*15*40) / [(8*15) +(15*40) + (40*8)] =(8*15*40) /(120+600+320)
=(8*15*40)/1040
=4 8/13days.

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