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1. Running at $\frac{5}{4}$ of his usual speed, an athlete improves his timing by 5 minutes. The time he usually takes to run the same distance is:

A. 30 min.

B. 28 min.

C. 25 min.

D. 23 min.

Solution:

When the athlete walks at

\frac{5}{4}

of his usual speed then he takes

\frac{4}{5}

of his usual time

(As Speed \propto \frac{1}{Time})

and he saves 5 minutes.
→ Usual time -

\frac{4}{5}

× usual time = 5 minutes
→

\frac{1}{5}

× Usual time = 5 minutes
Usual time = 25 minutes.

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