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If 12 men complete one-fourth of a piece of work in 10 days, working 8 hours a day, in how many days 15 men complete full piece of work when they work 6 hours a day? 1. 128/3 days2. 40 days3. 130/3 days4. 70/3 days |
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Answer» Correct Answer - Option 1 : 128/3 days Given: 12 men complete one-fourth of a piece of work in 10 days, working 8 hours a day. Concept used: M1 × D1 × H1/W1 = M2 × D2 × H2/W2 Where, M → Number of men, D → Number of days, H → Number of hours, W → Work Calculation: M1 × D1 × H1/W1 = M2 × D2 × H2/W2 ⇒ 12 × 10 × 8/(1/4) = 15 × D2 × 6/1 ⇒ D2 = (12 × 10 × 8 × 4)/(15 × 6) ⇒ D2 = 128/3 days ∴ 15 men would complete full piece of work in 128/3 days when they work 6 hours a day. |
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