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How many seconds will a boy take to run one complete round around a square field of side 53 metres, if he runs at a speed of 8 km/h?
Question

How many seconds will a boy take to run one complete round around a square field of side 53 metres, if he runs at a speed of 8 km/h?

A.

102

B.

101

C.

95.4

D.

88

Correct option is C

Given:

Side of the square field = 53 meters

Speed of the boy = 8 km/h

Formula Used:

Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}

Solution:

Perimeter of the square field:

Perimeter = 4 × 53 = 212 meter

Convert speed from km/h to m/s:

Speed in m/s =8×518=40182.22 m/s 8 \times \frac{5}{18} = \frac{40}{18} \approx 2.22 \, \text{m/s}

Time taken to run one round:

Time=DistanceSpeed=2122.2295.4 seconds\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{212}{2.22} \approx 95.4 \, \text{seconds}

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