A man, a woman or a boy can do a job in 20 days, 30 days or 60 days respectively. How many boys must assist 4 men and 5 women to do the work in 2 days?
Explanation:
Let the total work to be done = 60 units
∴ Efficiency of a man = 60/20 = 3 units/day ∴ Efficiency of a woman = 60/30 = 2 units/day ∴ Efficiency of a boy = 60/60 = 1 units/day
Let x boys assist 4 men and 5 women.
∴ (4m + 5w + xb) × 2 = 60
⇒ (12 + 10 + x) = 30
⇒ x = 8
Hence, option (d).
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