Question : 10 women can do a piece of work in 6 days, 6 men can do the same work in 5 days, and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man, and a child, respectively?
Option 1: 4 : 6 : 3
Option 2: 4 : 5 : 3
Option 3: 2 : 4 : 3
Option 4: 4 : 8 : 3
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Correct Answer: 4 : 8 : 3
Solution :
Let the efficiency of women, men, and children be
10 Women can do the work in 6 days.
⇒ Work done by 1 woman in 1 day =
Similarly,
So,
Now, multiplying by LCM(6, 3, 8) = 24
=
= 4 : 8 : 3
Hence, the correct answer is 4 : 8 : 3.
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