A man is Thrice as fast as a woman and a woman is twice as fast as a boy in doing a work If all of t...........

Quant (SSC) Time and work

A man is Thrice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 9 days, in how many days a boy will do it alone ?

81 days

9 days

6 days

27 days

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Explanation:

According to the question, 1 man ≡ 3 women ≡ 6 boys
∴ 1 man + 1 woman + 1 boys = (6 + 2 + 1) boys = 9 boys
Applying the chain-rule formula M₁D₁ = M₂D₂
⇒ 9 × 9 = 1 × D₂
⇒ D₂ = 81 days