A man, a woman and a boy do a job in 6, 8 and 24 days respectively. How many boys must assist 2 men and 1 woman to do the job in 2 days?
Explanation:
Let the work to be done = 24 units.
∴ Efficiency of a man = 24/6 = 4 units/day ∴ Efficiency of a woman = 24/8 = 3 units/day ∴ Efficiency of a boy = 24/24 = 1 units/day
Let x boys assist 2 men and 1 woman to complete the work in 2 days.
∴ (2m + 1w + xb) × 2 = 24
⇒ (2 × 4 + 1 × 3 + x × 1) = 12
⇒ x = 1
Hence, option (c).
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