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    Question

    Tarun and Saurabh together can complete a task in 10

    days. Tarun and Reena together can finish the same task in 14 days. Reena and Saurabh together can complete it in 35(35/3) days. Determine the difference between the number of days Tarun alone and Saurabh alone would take to complete the task individually.
    A 35/6 days Correct Answer Incorrect Answer
    B 45/6 days Correct Answer Incorrect Answer
    C 12/7 days Correct Answer Incorrect Answer
    D 28/13 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work be 70 units (LCM of 14, 10 and 35) Efficiency of 'Tarun' and 'Saurabh' = (70/10) = 7 units/day Efficiency of 'Tarun' and 'Reena' = (70/14) = 5 units/day Efficiency of 'Reena' and 'Saurabh' = {70 ÷ (35/3) } = 6 units/day Efficiency of 'Tarun', 'Reena' and 'Saurabh' = (7 + 5 + 6) ÷ 2 = 9 units/day Efficiency of 'Tarun' = 9 - 6 = 3 units/day Efficiency of 'Saurabh' = 9 - 5 = 4 units/day Therefore, required time = (70/3) - (70/4) = (35/6) days

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