An athlete completes one round of a circul

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An athlete completes one round of a circular track of radius $10\, m$ in $40\, sec$. The distance covered by him in $2 \,min$ $20 \,sec$ is ........ $m$

A

$70$

B

$140$

C

$110$

D

$220$

An athlete completes one round of a circular track of radius $10\, m$ in $40\, sec$. The distance covered by him in $2 \,min$ $20 \,sec$ is ........ $m$

Time period $= 40 \,sec$

No. of revolution $ = \frac{{{\rm{Total time}}}}{{{\rm{Time period}}}}$ $ = \frac{{140\,\sec }}{{40\,\sec }} = 3.5\,Rev$.

So, distance $ = 3.5 \times 2\pi R = 3.5 \times 2\pi \times 10 = 220\,m$.