A cart wheel turns 1000 revolutions to bridge a sector distance of 1320 meters. Find the diameter size of the turning wheel. MCQ with Answer and Explanation

Question

A cart wheel turns 1000 revolutions to bridge a sector distance of 1320 meters. Find the diameter size of the turning wheel.

A. 42 cm

B. 38 cm

C. 46 cm

D. 50 cm

Answer: Option A

Solution (By JKSSB Mock Tests)

Distance covered in 1 single turn revolution = 1320 / 1000 = 1.32 meters = 132 cm. Circumference = 2 * (22/7) * r = 132 cm => Diameter (2r) * (22/7) = 132 => Diameter = 132 * 7 / 22 = 6 * 7 = 42 cm.

This question belongs to: Maths Time Speed and Distance

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Question #1

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A truck covers 300 meters in 20 seconds. Find its speed in km/h.

A. 54 km/h

B. 60 km/h

C. 45 km/h

D. 72 km/h

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Correct Answer: Option A

Explanation:
Speed = 300 / 20 = 15 m/s. In km/h = 15 * (18/5) = 54 km/h.

This question belongs to: Maths Time Speed and Distance

Question #2

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Two boys start running from the same point in the same direction along a circular track at speeds of 5 m/s and 8 m/s. If the track length is 400 meters, after how much time will they meet for the first time?

A. 100 seconds

B. 150 seconds

C. 200 seconds

D. 133.33 seconds

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Correct Answer: Option D

Explanation:
Relative speed = 8 - 5 = 3 m/s. Time to meet for the first time = Circumference / Relative speed = 400 / 3 = 133.33 seconds.

This question belongs to: Maths Time Speed and Distance

Question #3

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A train 110 meters long is running at a speed of 58 km/h. How much time will it take to pass a man running at 4 km/h in the opposite direction?

A. 7 seconds

B. 7.5 seconds

C. 6 seconds

D. 6.38 seconds

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Correct Answer: Option D

Explanation:
Relative speed = 58 + 4 = 62 km/h = 62 * (5/18) = 155/9 m/s. Time = Distance / Speed = 110 / (155/9) = 110 * 9 / 155 = 990 / 155 = 6.38 seconds.

This question belongs to: Maths Time Speed and Distance

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