Mohan is 6 minutes late to his office by walking at 4/5 of his usual speed. Find his usual time to cover the distance. ​

Question

Mohan is 6 minutes late to his office by walking at 4/5 of his usual speed. Find his usual time to cover the
distance.

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Evelyn 2 weeks 2021-09-10T14:05:46+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-10T14:07:16+00:00

    the distance is 24 minutes

    Solution:

    Given that,

    By walking at 4/5 of his usual speed, a man is 6 minutes late to his office

    Therefore,

    With a speed of 4/5 th of the usual speed, the time taken is 5/4 th of the usual time

    Let “x” be the usual time

    (5/4 of usual time) – (usual time) = 6 minutes

    \begin{gathered}\frac{5}{4} \times x – x = 6\\\\\frac{x}{4} = 6\\\\x = 24\end{gathered}

    4

    5

    ×x−x=6

    4

    x

    =6

    x=24

    Thus the usual time to cover the distance is 24 minutes

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