In a cycle race, a boy was cycling in such a way that the wheels are making 200 revolutions per minute. Diameter of the wheel is 50cm, what is the cycling speed per hr?

14.7 km/hr

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17 km/hr

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18.84 km/hr

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20 km/hr

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Solution

The correct option is C
18.84 km/hr

Diameter of the cycle wheel = 50cm [radius=25cm]

No. of revolutions per minute = 200

∴ No. revolutions in an hour = 200 x 60 = 12000

Distance covered in one revolution = Circumference of the wheel = $π d$ = 50 $π$ cm

∴ Distance covered in an hour = 12000 x $π d$ = 12000 x 50 $π$ = 1884000 cm = 18.84 km

Hence the speed of the cyclist is 18.84 km/hr.

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