A wheel makes 2000 revolutions to cover a distance of 1760 meters. Find the radius of the wheel. MCQ with Answer and Explanation

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A wheel makes 2000 revolutions to cover a distance of 1760 meters. Find the radius of the wheel.

A. 12 cm

B. 14 cm

C. 16 cm

D. 18 cm

Answer: Option B

Solution (By JKSSB Mock Tests)

Distance covered in 1 revolution = 1760 / 2000 = 0.88 meters = 88 cm. Circumference = 2 * (22/7) * r = 88 cm => (44/7) * r = 88 => r = 14 cm.

This question belongs to: Maths Time Speed and Distance

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Question #1

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A locomotive running at 54 km/h takes 20 seconds to completely cross a platform. If it takes 8 seconds to pass a standing point observer, find the platform length.

A. 180 meters

B. 160 meters

C. 220 meters

D. 200 meters

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Correct Answer: Option A

Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Length of train = Speed * Time to cross observer = 15 * 8 = 120 meters. Total distance to cross platform = Speed * Time = 15 * 20 = 300 meters. Platform length = 300 - 120 = 180 meters.

This question belongs to: Maths Time Speed and Distance

Question #2

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A runner covers a 100-meter race. The winner finishes in 10 seconds while the runner-up finishes in 10.5 seconds. By what distance does the winner beat the runner-up?

A. 5.00 meters

B. 4.54 meters

C. 5.25 meters

D. 4.76 meters

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Correct Answer: Option D

Explanation:
Speed of the runner-up = 100 / 10.5 = 200 / 21 m/s. Distance covered by the runner-up in 10 seconds = (200 / 21) * 10 = 2000 / 21 = 95.24 meters. Distance winner beats runner-up by = 100 - 95.24 = 4.76 meters.

This question belongs to: Maths Time Speed and Distance