Question 144

4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If 2 men 4 women and 10 children work together in how many days can the work be completed ?

Solution

1 Man does 1/(4*2) = 1/8 amount of work in a day

1 Woman does 1/(4*4) = 1/16 amount of work in a day

1 Child does 1/(5*4) = 1/20 amount of work in a day

2 Men , 4 Women and 10 Children will do 2*1/8+4*1/16+ 10*1/20 = 1/4+1/4+1/2 = 1 amount of work in a day

Hence, they will finish in 1 day.

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