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    Question

    An elephant can do a work as fast as two horses β€˜A’

    and β€˜B’ can do it by working together. If horse β€˜A’ alone can complete the work in 24 hours and horse β€˜B’ in 48 hours, then find the time taken by elephant to complete the work.
    A 8 hours Correct Answer Incorrect Answer
    B 4 hours Correct Answer Incorrect Answer
    C 12 hours Correct Answer Incorrect Answer
    D 16 hours Correct Answer Incorrect Answer
    E 24 hours Correct Answer Incorrect Answer

    Solution

    Let the total work = 48 units Efficiency of horse who can complete the work in 24 hours = 48/24 = 2 units/hour Efficiency of horse who can complete the work in 48 hours = 48/48 = 1 units/hour Therefore, time taken by both horses to complete the work together = 48/(2 + 1) = 16 hours Therefore, time taken by the elephant to complete the work = 16 hours

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