A and B can do a work in 18 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?\nOptions:\n(A) 360/13 days\n(B) 350/13 days\n(C) 160/13 days\n(D) 260/13 days\n(E) 960/13 days Hmmm, my stream of consciousness:
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One day work of A and B = 1/18\nOne day work of B and C = 1/30\nOne day work of C and A = 1/36\n2(A + B + C) = 1/18 + 1/30 + 1/36\n2(A + B + C) = 21/180\n(A + B + C) = 13/360\nNumber of days required = 360/13 days. So, the answer is (A).
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