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A and B can complete a piece of work in 14 days, B and C can complete it, in 28 days, C and A can complete it, in 56 days, they start the work together then find number of days to complete the work.1. 18 days2. 16 days3. 15 days4. 24 days5. None of these |
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Answer» Correct Answer - Option 2 : 16 days Given: A and B together can complete work = 14 days B and C together can complete work = 28 days C and A together can complete work = 56 days Concept: Total work = Time × Efficiency Calculation:
Efficiency of A, B and C together = (4 + 2 + 1)/2 = 7/2 unit Let, Together A, B and C complete the work in x days Then, x = 56/(7/2) ⇒ (56 × 2)/7 = 16 days ∴ A, B and C together complete the work in 16 days. |
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