Question

A cyclist takes 22 seconds to cover half the length of a circular track with uniform speed. If the radius of the track is 21 m, find the average speed of the cyclist.

• A. 1 m/s
• B. 2 m/s
• C. 3 m/s
• D. 5 m/s

Answer 1

The correct option is C 3 m/s

Distance covered by the cyclist to cover half track = $\frac{2\pi r}{2}$= πr
Time taken by the cyclist to cover half the track = 22 s
As,
$Speed=\frac{Dis\tan cetravelled}{Timetaken}$
$s=\frac{\pi r}{t}$
s = $\frac{22\times 21}{7\times 22}$
s = 3 m/s
Hence, the speed of the cyclist is 3 m/s.