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A person $\mathrm{X}$ is running around a circular track completing one round every $40$ seconds. Another person $\mathrm{Y}$ running in the opposite direction meets $\mathrm{X}$ every $15$ second. The time, expressed in seconds, taken by $\mathrm{Y}$ to complete one round is
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The correct answer is:
$24$
$\theta=\frac{2 \pi}{40} \times 15=2 \pi-\frac{2 \pi}{\mathrm{n}} \times 15$
$\therefore \frac{3}{8}=1-\frac{15}{n}$
$\Rightarrow \mathrm{n}=24$
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