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    Question

    A and B together can finish a work in 10 days. Their

    rates of working are in the ratio 2 : 3. In how many days can each of them finish the work alone?
    A 22/3 days Correct Answer Incorrect Answer
    B 50/3 days Correct Answer Incorrect Answer
    C 27/5 days Correct Answer Incorrect Answer
    D 32/2 days Correct Answer Incorrect Answer

    Solution

    Let A’s 1-day work = 2k and B’s 1-day work = 3k Total 1-day work = 2k + 3k = 5k = 1/10 So 5k = 1/10 ⇒ k = 1/50 A’s 1-day work = 2k = 2/50 = 1/25 So A alone takes 25 days. B’s 1-day work = 3k = 3/50 So B alone takes 50/3 days

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