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A and B can complete a piece of work in 18 days and 45 days respectively, they start work together but B left after some time and A finish the remaining work in 4 days, After how many days from the start B did leave the work?1. 12 days2. 10 days3. 9 days4. 14 days5. None of these |
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Answer» Correct Answer - Option 2 : 10 days Given: A alone can complete work = 18 days B alone can complete work = 45 days A and B start working together but B left after some time and A finish the remaining work in 4 days Concept: Total work = Time × Efficiency Calculation:
Start work together but B left after some time and A finish the remaining work in 4 days Last 4 days work done by A = 4 × 5 = 20 unit Work for did together = 90 – 20 = 70 unit Efficiency of A and B = 5 + 2 = 7 unit Let, After x days from the start B did leave the work Then, x = 70/7 = 10 days ∴ After 10 days from the start B did leave the work
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