Two commuter trains 140 meters and 110 meters long are tracking in opposite directions at speeds of 40 km/h and 50 km/h respectively. In what time do they clear each other? MCQ with Answer and Explanation

Two commuter trains 140 meters and 110 meters long are tracking in opposite directions at speeds of 40 km/h and 50 km/h respectively. In what time do they clear each other?
A. 8 seconds
B. 14 seconds
C. 10 seconds
D. 12 seconds
Answer: Option C
Solution (By JKSSB Mock Tests)
Total distance = 140 + 110 = 250 meters. Relative speed in opposite directions = 40 + 50 = 90 km/h = 25 m/s. Time taken = 250 / 25 = 10 seconds.

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Practice More Time Speed and Distance Questions

Question #1
A passenger coach locomotive 200 meters long passes a clear roadside post marker in 10 seconds flat. Find the time needed to cross an extensions platform 440 meters long.
A. 40 seconds
B. 36 seconds
C. 32 seconds
D. 28 seconds

Correct Answer: Option C


Explanation:
Speed of coach locomotive = 200 / 10 = 20 m/s. Total distance to clear platform stretch = 200 + 440 = 640 meters. Time required = 640 / 20 = 32 seconds.

This question belongs to: Maths Time Speed and Distance
Question #2
A train traveling at 60 km/h overtakes a motor cyclist riding at 12 km/h in the same direction in 12 seconds. Find the length of the train.
A. 180 meters
B. 140 meters
C. 160 meters
D. 200 meters

Correct Answer: Option C


Explanation:
Relative speed = 60 - 12 = 48 km/h = 48 * (5/18) = 40/3 m/s. Length of train = Relative speed * Time = (40/3) * 12 = 160 meters.

This question belongs to: Maths Time Speed and Distance
Question #3
The speed of two cyclists are in the ratio 4 : 7. If they cover the same total distance, what is the ratio of the time taken by them?
A. 16 : 49
B. 4 : 7
C. 49 : 16
D. 7 : 4

Correct Answer: Option D


Explanation:
Since time is inversely proportional to speed when distance is constant, the ratio of time taken is the reciprocal of the speed ratio: 1/4 : 1/7 = 7 : 4.

This question belongs to: Maths Time Speed and Distance