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An athlete completes one round of a circular track of diameter $200 m in 40 s$ . What will be the distance covered at the end of $2 minutes and 20 s$ ?

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360 m

220 m

100 m

50 m

answer is B.

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Detailed Solution

An athlete completes one round of a circular track of diameter

200 m in 40 s

. The distance covered at the end of

2 minutes and 20 s

will be

220 m

.
Given:

diameter = 200 m, time = 2 minutes 20 seconds

= 2 \times 60 + 20

= 140 s .

Length of circular track = circumference of the circular track
We know Circumference

πd = \frac{22}{7} \times 200 m

.
⇒ Circumference

= \frac{4400}{7} m

.
Therefore, distance travelled in

40 s = \frac{4400}{7} m

.
Distance travelled in 1

s = \frac{4400}{(7 \times 40)}

= \frac{110}{7} m

Distance travelled in

2 minutes and 20 seconds

= \frac{110}{7} \times 140

= 220 m

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