Question

    Pawan completes in two days the same amount of work that

    Qureshi completes in four days. Pawan alone can finish the entire task in 15 days. How many days will it take for Pawan and Qureshi to complete the entire task if they work together?
    A 12 days Correct Answer Incorrect Answer
    B 25 days Correct Answer Incorrect Answer
    C 10 days Correct Answer Incorrect Answer
    D 18 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, ‘Pawan’ is twice as efficient as ‘Qureshi’. Let efficiency of ‘Qureshi’ be ‘q’ units per days and efficiency of ‘Pawan’ be ‘p’ units/day Therefore, p = 2q Let ‘Pawan’ and ‘Qureshi’ together takes ‘d’ days to complete the work Therefore, (p × 15) = (p + q) × d Or, 2q × 15 = 3q × d Or, d = 10 days

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