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A and B can complete the work in 6 days while A and C can complete the work in 10 days. A, B and C together can complete the work in 5 days. Find the time in which B alone can complete the work.1. 10 days2. 16 days3. 20 days4. 15 days5. 30 days |
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Answer» Correct Answer - Option 1 : 10 days Given: Time taken by A and B to complete the work = 6 days Time taken by A and C to complete the work = 10 days Time taken by A, B and C to complete the work = 5 days Calculation: ⇒ 1/A + 1/B = 1/6 ⇒ 1/A + 1/C = 1/10 ⇒ 1/A + 1/B + 1/C = 1/5 ⇒ 2/A + 1/B + 1/C = 4/15 Solving, A = 15, B = 1/10 and C = 1/30 ∴ B alone can complete the work in 10 days |
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