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    Question

    β€˜P’ is 20% more efficient than β€˜Q’. β€˜P’ can

    do a piece of work in 15 days. They begin the work together, but β€˜Q’ leaves after 6 days. The rest of the work is completed by β€˜P’ in β€˜x’ days. What is the value of β€˜x’?
    A 2 days Correct Answer Incorrect Answer
    B 13 days Correct Answer Incorrect Answer
    C 8 days Correct Answer Incorrect Answer
    D 6 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Time taken by β€˜Q’ to complete the work = 1.2 Γ— 15 = 18 days Let the total work be 90 units Efficiency of β€˜P’ = 90/15 = 6 units/day Efficiency of β€˜Q’ = 90/18 = 5 units/day Work done by β€˜P’ and β€˜Q’ in 6 days = (6 + 5) Γ— 6 = 66 units Therefore, x = (90 – 66)/6 = 24/6 = 4 days

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