A train running at 90 km/h overtakes a cyclist riding at 18 km/h in the same direction in 10 seconds. Find the length of the train. MCQ with Answer and Explanation

A train running at 90 km/h overtakes a cyclist riding at 18 km/h in the same direction in 10 seconds. Find the length of the train.
A. 200 meters
B. 180 meters
C. 240 meters
D. 220 meters
Answer: Option A
Solution (By JKExamLibrary)
Relative speed = 90 - 18 = 72 km/h = 72 * (5/18) = 20 m/s. Length of train = Relative speed * Time = 20 * 10 = 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 fisherman rows 20 km downstream in 2 hours and 15 km upstream in 3 hours. Find the net speed of the boat in still water.
A. 7.5 km/h
B. 8.0 km/h
C. 7.0 km/h
D. 8.5 km/h

Correct Answer: Option A


Explanation:
Downstream speed = 20 / 2 = 10 km/h. Upstream speed = 15 / 3 = 5 km/h. Speed in still water = (10 + 5) / 2 = 7.5 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A man walking at 5 km/h notices a train 100 meters long passing him from behind in 6 seconds. What is the speed of the train?
A. 65 km/h
B. 60 km/h
C. 70 km/h
D. 75 km/h

Correct Answer: Option A


Explanation:
Relative speed = 100 / 6 = 50/3 m/s = (50/3) * (18/5) = 60 km/h. Since the train passes him from behind (same direction), Relative Speed = Speed of train - Speed of man => 60 = Speed of train - 5 => Speed of train = 65 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A car covers four successive 3 km stretches at speeds of 10 km/h, 20 km/h, 30 km/h and 60 km/h respectively. Its average speed for this distance is:
A. 20 km/h
B. 24 km/h
C. 25 km/h
D. 30 km/h

Correct Answer: Option A


Explanation:
Total distance = 4 * 3 = 12 km. Total time = 3/10 + 3/20 + 3/30 + 3/60 = (18 + 9 + 6 + 3)/60 = 36/60 = 0.6 hours. Average speed = 12 / 0.6 = 20 km/h.

This question belongs to: Maths Time Speed and Distance