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    Question

    Ajay alone can finish 60% of a task in 18 days. Vijay takes

    15 days longer than Ajay to complete the entire task. When Vijay and Chirag work together, they can complete the full task in 20 days. How many days will Chirag alone take to finish the same task?
    A 20 days Correct Answer Incorrect Answer
    B 30 days Correct Answer Incorrect Answer
    C 36 days Correct Answer Incorrect Answer
    D 25 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;
    Time taken by 'Ajay' alone to complete the entire work = 18 ÷ 0.6 = 30 days

    Time taken by 'Vijay' alone to complete the entire work = 30 + 15 = 45 days

    Let the total work = L.C.M of 30, 45 and 20 = 180 units

    Then, efficiency of 'Vijay' = (180/45) = 4 units/day

    Combined efficiency of 'Vijay' and 'Chirag' = (180/20) = 9 units/day

    So, efficiency of 'Chirag' alone = 9 - 4 = 5 units/day

    So, time taken by 'Chirag' alone to complete the entire work = (180/5) = 36 days

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