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If 1 man, 1 woman, 1 boy together can finish a piece of work in 5 days. If a woman and a boy can finish the work in 10 days and 16 days respectively. The days were taken by a man to finish the work is.1. 80/3 days2. 75 days3. 75/3 days4. 80 days |
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Answer» Correct Answer - Option 1 : 80/3 days Given: 1 man + 1 woman + 1 boy can finish work in 5 days 1 woman can finish work in 10 days 1 boy can finish work in 16 days Calculation: Let the time taken by 1 man be ‘x’ days. ⇒ (1/x) + (1/10) + (1/16) = 1/5 ⇒ 1/x = (1/5) – (1/10) – (1/16) ⇒ 1/x = 3/80 ⇒ x = 80/3 ∴ 1 man can finish work in 80/3 days. |
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