A train running at 72 km/h overtakes a cyclist riding at 12 km/h in the same direction in 12 seconds. Find the length of the train. MCQ with Answer and Explanation

A train running at 72 km/h overtakes a cyclist riding at 12 km/h in the same direction in 12 seconds. Find the length of the train.
A. 240 meters
B. 200 meters
C. 180 meters
D. 220 meters
Answer: Option B
Solution (By JKExamLibrary)
Relative speed = 72 - 12 = 60 km/h = 60 * (5/18) = 50/3 m/s. Length of train = Relative speed * Time = (50/3) * 12 = 200 meters.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
A train 250 meters long passes a static track utility pole in 10 seconds flat. Find the time it takes to completely pass a platform of length 500 meters.
A. 30 seconds
B. 35 seconds
C. 26 seconds
D. 32 seconds

Correct Answer: Option A


Explanation:
Speed of train = 250 / 10 = 25 m/s. Total distance to pass platform = 250 + 500 = 750 meters. Time taken = 750 / 25 = 30 seconds.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
In a 300-meter dash race, X completes the track in 33 seconds and Y completes it in 36 seconds. By what distance does X beat Y?
A. 25 meters
B. 22 meters
C. 28 meters
D. 30 meters

Correct Answer: Option A


Explanation:
Speed of Y = 300 / 36 = 25/3 m/s. Distance covered by Y when X crosses the finish line at 33 seconds = (25/3) * 33 = 25 * 11 = 275 meters. Winning margin = 300 - 275 = 25 meters.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A boat moves upstream at 9 km/h and downstream at 15 km/h. Find the speed of the boat in still water.
A. 11 km/h
B. 13 km/h
C. 12 km/h
D. 14 km/h

Correct Answer: Option C


Explanation:
Speed in still water = (Downstream speed + Upstream speed) / 2 = (15 + 9) / 2 = 12 km/h.

This question belongs to: Maths Time Speed and Distance