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    Question

    ‘P’ and ‘Q’ together can finish a task in 15 days

    while ‘Q’ alone can do it in 25 days. If the ratio of efficiencies of ‘P’ and ‘R’ is 3:5 respectively, then find the ratio of efficiencies of ‘Q’ and ‘R’.
    A 8:9 Correct Answer Incorrect Answer
    B 7:5 Correct Answer Incorrect Answer
    C 5:4 Correct Answer Incorrect Answer
    D 9:10 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let total work = 75 units {LCM of 15 and 25}

    Efficiency of (P + Q) = 75/15 = 5 units/day

    Efficiency of Q = 75/25 = 3 units/day

    Therefore, efficiency of P = 5 – 3 = 2 units/day

    Efficiency of R = 2 × (5/3) = 10/3 units/day

    Required ratio = 3 : 10/3 = 9 : 10

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