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

1. 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