Question

If a person covers a circular track of radius 150m in 9 minutes find the distance that he covers in 3 minutes

Answer 1

Answer:

distance of circular track=2πr

2x3.l4x150 =942m

942m in 9 min

xm.....in 3 min

x=3x942/9=314m

Answer 2

Distance that he covers in 3 minutes is 314 meter

Solution:

Given that,

Person covers a circular track of radius 150 m in 9 minutes

Then,

Distance traveled in 1 round = $2 \pi r$

$\text{Distance traveled in 1 round } = 2 \times \pi \times 150 \\\\\text{Distance traveled in 1 round } = 300 \pi$

Time taken = 9 minutes

$speed = \frac{distance}{time} \\\\speed = \frac{300 \pi }{ 9 } \\\\speed = \frac{100 \pi }{3}\ meter\ per\ minute$

Find the distance that he covers in 3 minutes

$Distance = speed \time time \\\\\text{ Distance covered in 3 minutes } = \frac{100 \pi }{3} \times 3 \\\\\text{ Distance covered in 3 minutes } = 100 \pi = 100 \times 3.14 \\\\\text{ Distance covered in 3 minutes } = 314\ meter$

Thus, distance that he covers in 3 minutes is 314 meter

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