X can finish a work in 36 days. Y can finish the same work in 24 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) 12\n(B) 13\n(C) 16\n(D) 17\n(E) 18 Stream of consciousness first, then make a decision:
User
Work done by X in 1 day = 1/36\nWork done by Y in 1 day = 1/24\nWork done by Y in 12 days = 12/24 = 1/2\nRemaining work = 1 – 1/2 = 1/2\nNumber of days in which X can finish the remaining work = (1/2) / (1/36) = 18
Thus, the answer is (E).
Assistant