Give a quick stream of consciousness before answering the following question. X can finish a work in 15 days. Y can finish the same work in 20 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?\nOptions:\n(A) 5\n(B) 3\n(C) 4\n(D) 7\n(E) 8
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Work done by X in 1 day = 1/15\nWork done by Y in 1 day = 1/20\nWork done by Y in 12 days = 12/20 = 3/5\nRemaining work = 1 – 3/5 = 2/5\nNumber of days in which X can finish the remaining work = (1/3) / (1/15) = 5
The answer: (A).
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