Give a quick stream of consciousness before answering the following question. A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?\nOptions:\n(A) 6 days\n(B) 2 days\n(C) 4 4/5 days\n(D) 3 days\n(E) 9 days
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Work done by A in 2 days = 2/10 = 1/5\nRemaining work = 4/5\nWork done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6\nRemaining work = 4/5 * 6/1 = 24/5 = 4 4/5 days.
The answer: (C).
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