A wheel of diameter 70 cm makes 400 revolutions per minute. Find the speed of the vehicle in km/h. MCQ with Answer and Explanation

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A wheel of diameter 70 cm makes 400 revolutions per minute. Find the speed of the vehicle in km/h.

A. 52.8 km/h

B. 55.4 km/h

C. 48.2 km/h

D. 60.0 km/h

Answer: Option A

Solution (By JKSSB Mock Tests)

Radius r = 35 cm = 0.35 meters. Circumference = 2 * (22/7) * 0.35 = 2.2 meters. Distance covered in 1 minute = 400 * 2.2 = 880 meters. Distance covered in 1 hour = 880 * 60 = 52800 meters = 52.8 km. Speed = 52.8 km/h.

This question belongs to: Maths Time Speed and Distance

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Question #1

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An aeroplane flies along the four sides of a square at speeds of 200, 400, 600 and 800 km/h. Find the average speed of the plane around the field.

A. 500 km/h

B. 400 km/h

C. 384 km/h

D. 432 km/h

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Correct Answer: Option C

Explanation:
Let each side of square be 2400 km (LCM of 200, 400, 600, 800). Total distance = 4 * 2400 = 9600 km. Total time = 2400/200 + 2400/400 + 2400/600 + 2400/800 = 12 + 6 + 4 + 3 = 25 hours. Average speed = 9600 / 25 = 384 km/h.

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Question #2

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A high-speed train travels at 162 km/h. How many meters does it cover in exactly 8 seconds?

A. 360 meters

B. 380 meters

C. 400 meters

D. 320 meters

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Correct Answer: Option A

Explanation:
Speed in m/s = 162 * (5/18) = 9 * 5 = 45 m/s. Distance covered in 8 seconds = 45 * 8 = 360 meters.

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Question #3

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A person walks from his home to his office at 5 km/h and reaches 10 minutes late. If he walks at 6 km/h, he reaches 2 minutes late. Find the distance.

A. 4.5 km

B. 5.0 km

C. 3.5 km

D. 4.0 km

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Correct Answer: Option D

Explanation:
Time difference = 10 - 2 = 8 minutes = 8/60 = 2/15 hour. Let distance be d. d / 5 - d / 6 = 2/15 => d / 30 = 2/15 => d = 4 km.

This question belongs to: Maths Time Speed and Distance

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