A and B can do a work in 5 days, B and C in 15 days and C and A in 25 days. In how many days will the work be completed, if all three of them work together?\nOptions:\n(A) 26/18\n(B) 42/15\n(C) 48/63\n(D) 12/36\n(E) 150/23 Think first, then make a decision. Some random thoughts:
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One day work of A and B = 1/5\nOne day work of B and C = 1/15\nOne day work of C and A = 1/25\n2(A + B + C) = 1/5+ 1/15 + 1/25\n2(A + B + C) = 23/75\n(A + B + C) = 23/150\nNumber of days required = 150/23 days. So the answer is (E).
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