Give stream of consciousness and then the final answer. P can do a work in 24 days. Q can do the samework in 9 days & R can do the same work in 12 days. Q & R start the work and leave after 3 days. P finishes the remaining work in how many days.\nOptions:\n(A) 8\n(B) 10\n(C) 14\n(D) 16\n(E) 19
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Work done by P in 1 day = 1/24\nWork done by Q in 1 day = 1/9\nWork done by R in 1 day = 1/12\nWork done by Q and R in 1 day = 1/9 + 1/12 = 7/36\nWork done by Q and R in 3 days = 3×7/36 = 7/12\nRemaining work = 1 – 7/12 = 5/12\nNumber of days in which P can finish the remaining work = (5/12) / (1/24) = 10
The final answer: (B).
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