4 men can complete a piece of work in 40 days.four women can complete the same work in 64 days .find the time in which 10 men and 16 women working together can complete the same work.
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Step-by-step explanation:
4 men can complete a work in 40 days
1 man can do it in 40*4 days
10 men can do it in (40*4)/10 =16 days
therefore work done in 1 day by 10 men =1/16th part
4 women can complete a work in 64 days
1 woman can do it in 64*4 days
16 women can do it in (64*4)/16 =16 days
therefore work done in 1 day by 16 women =1/16th part
Now, work done by them together in a day
=1/16+1/16
=2/16=1/8th part
therefore time taken to finish the work by 10 men and 16 women
=reciprocal of 1/8 =8 days
Ans: 8 days are required to finish the work.
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