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Question

8 men can dig a pit in 20 days. If a man works one and a half as much again as a boy, then 4 men and 8 boys can dig it in

A
10 days
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B
12 days
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C
15 days
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D
16 days
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Solution

The correct option is B 16 days
fromthegivendataworkdonebymen=1+12workdonebyboy=1So,ratioofworkdonebymanandboy=3:2Now,Totalwork=8×3×20Now,4men+9Boy=4×3+9×2=12+18=30Hence,No.ofdays=8×3×2030=16daysHence,optionDisthecorrectanswer.

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