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    Question

    P, Q, and R can complete a task in 2x, 25x​, and x

    days respectively when working alone. If they complete the task together in 19200​ days, how many days would it take for only P and R to finish the task together?
    A 65/19 days Correct Answer Incorrect Answer
    B 40/3 days Correct Answer Incorrect Answer
    C 73/19 days Correct Answer Incorrect Answer
    D 15/2 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    1/2x + 2/5x + 1/x = 19/200 On solving x = 20 days So, number of days taken by P and R to complete the work individually is 40 days and 20 days respectively. Number of days taken by P and R to complete the task while working together = 1/(1/40 + 1/20) = 40/3 days

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