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C. A can complete a piece of work in 15 days and B can do the samein 10 days. They worked together for 2 days and then Bleft. Inhow many days will A complete the remaining work? |
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Answer» Answer: A & B WORK together for 2 days. It WOULD take 8 more days had they continued to work together. But, B only continues working for 12 more days. Splitting 12= 8 + 4, it is clear that B COMPLETES in 4 days that portion of work which A completes in 8 days. => Efficiency of A:B = 1:2 => Time taken A:B = 2:1 Now 2x^2/3x = 10 => x = 15 => A alone can complete work in 2x or 30 days. Step-by-step explanation: A works for 2 days while B works for 2 + 12 days In two days A & B together complete 2/10 = 20% work. Remaining 80% work done by B in 12 days. => B alone completes full work in 12/80 x 100 = 15 days. :-) |
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