X can do a piece of work in 30 days. He worked at it for 5 days and then Y finished it in 20 days. In how many days can X and Y together finish the work?
X’s five day work = 5/30 = 1/6 Remaining work = 1 – 1/6 = 5/6 This work was done by Y in 20 days. Y does 5/6th of the work in 20 days, he will finish the work in 20 × 6/5 = 24 days. X & Y together would take 1/24 + 1/24 = 2/24 = 1/12 i.e. 12 days to complete the work.
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