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A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is $60 cm,$ then find the speed per hour which the boy is cycling.

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15.84

km/hr

16.25

Km/hr

17.55

km/hr

None of these

answer is A.

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Detailed Solution

Given that, a boy is cycling such that the wheels of the cycle are making 140 revolutions per minute and the diameter of the wheel is 60 cm.
We know that, the circumference of circle is

2 π r

.
Calculating the radius of the wheel.

602 = 30 cm

Calculating the circumference of the wheel,

2 π r = 2 × 227 × 30

⇒ 227 × 60

⇒ 13207 cm

Distance covered in 1 revolution is

13207 cm

.
Calculating the distance covered in 140 revolutions.

13207 × 140 = 26400 cm

⇒

264 m

⇒ 2641000 km

We know that, 1 hour equals to 60 minutes.
Calculating the distance covered in 1 hour by computing the product of distance and time.

2641000 × 60 = 15.84 km/ h r

Therefore, the speed per hour which boy is cycling is 15.84 km/hr .
Hence the correct option is 1.

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