Question : One man or two women or three boys can do a piece of work in 88 days. One man, one woman, and one boy will do it in:
Option 1: 44 days
Option 2: 24 days
Option 3: 48 days
Option 4: 20 days
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Correct Answer: 48 days
Solution :
Time taken by 1 man or 2 women or 3 boys to do work = 88 days
Time taken by 1 man = 88 days
Efficiency of 1 man = $\frac{1}{88}$
Efficiency of 1 man = efficiency of 2 women = efficiency of 3 boys
Efficiency of 1 man, 1 woman, and 1 boy
= $(1+\frac{1}{2}+\frac{1}{3})$ × efficiency of 1 man
= $\frac{11}{6}$ × $\frac{1}{88}$
= $\frac{1}{48}$
Time taken by 1 man,1 woman, and 1 boy = 48 days
Hence, the correct answer is 48 days.
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