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Question

Question: An athlete completes one round of a circular track of radius 10 m in 40 sec. The distance covered by...

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

A

70 m

B

140 m

C

110 m

D

220 m

Answer

220 m

Explanation

Solution

No. of revolution(n)=Total time of mo⥂⥂tionTimeperiod=140sec40sec=3.5\text{No. of revolution}(n) = \frac{\text{Total time of mo} ⥂ ⥂ \text{tion}}{\text{Timeperiod}} = \frac{140\sec}{40\sec = 3.5}Distance covered by an athlete in revolution=n(2πr)=3.5(2πr)=3.5×2×227×10= n(2\pi r) = 3.5(2\pi r) = 3.5 \times 2 \times \frac{22}{7} \times 10= 220 m.