A cyclist tracks 1200 meters in exactly 4 minutes. Find his speed index in km/h. MCQ with Answer and Explanation

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A cyclist tracks 1200 meters in exactly 4 minutes. Find his speed index in km/h.

A. 15 km/h

B. 18 km/h

C. 20 km/h

D. 22 km/h

Answer: Option B

Solution (By JKSSB Mock Tests)

Time = 4 minutes = 240 seconds. Speed = 1200 / 240 = 5 m/s. In km/h = 5 * (18/5) = 18 km/h.

This question belongs to: Maths Time Speed and Distance

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Question #1

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A train running at 54 km/h takes 20 seconds to pass a bridge. Next, it passes a man walking at 6 km/h in the same direction in 12 seconds. Find the length of the bridge.

A. 140 meters

B. 120 meters

C. 160 meters

D. 150 meters

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Correct Answer: Option A

Explanation:
Speed of train = 54 km/h = 15 m/s. Speed of man = 6 km/h = 5/3 m/s. Relative speed = 15 - 5/3 = 40/3 m/s. Length of train = Relative speed * time = (40/3) * 12 = 160 meters. To pass bridge: Total distance = Length of train + Length of bridge = 15 m/s * 20 seconds = 300 meters. Length of bridge = 300 - 160 = 140 meters.

This question belongs to: Maths Time Speed and Distance

Question #2

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A person covers 1/3 of a distance at 15 km/h, 1/3 at 30 km/h and the last 1/3 at 60 km/h. Find the average speed.

A. 28 km/h

B. 30 km/h

C. 24 km/h

D. 25.71 km/h

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Correct Answer: Option D

Explanation:
Let each third of the distance be 60 km. Total distance = 180 km. Total time taken = 60/15 + 60/30 + 60/60 = 4 + 2 + 1 = 7 hours. Average speed = 180 / 7 = 25.71 km/h.

This question belongs to: Maths Time Speed and Distance