Two trains 140 meters and 160 meters long are running in opposite directions at speeds of 50 km/h and 58 km/h respectively. In what time will they cross each other? MCQ with Answer and Explanation

Two trains 140 meters and 160 meters long are running in opposite directions at speeds of 50 km/h and 58 km/h respectively. In what time will they cross each other?
A. 10 seconds
B. 9 seconds
C. 12 seconds
D. 11 seconds
Answer: Option A
Solution (By JKSSB Mock Tests)
Total distance = 140 + 160 = 300 meters. Relative speed in opposite directions = 50 + 58 = 108 km/h = 30 m/s. Time taken = 300 / 30 = 10 seconds.

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Practice More Time Speed and Distance Questions

Question #1
A person reaches his destination 40 minutes late if his speed is 3 km/h, and reaches 30 minutes early if his speed is 4 km/h. Find the distance to his destination.
A. 14 km
B. 15 km
C. 12 km
D. 16 km

Correct Answer: Option A


Explanation:
Time difference = 40 - (-30) = 70 minutes = 70 / 60 = 7/6 hours. Let distance be d. d/3 - d/4 = 7/6 => d/12 = 7/6 => d = 14 km.

This question belongs to: Maths Time Speed and Distance
Question #2
A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/h, what will be the time taken by it to cover the same distance?
A. 15 minutes
B. 14 minutes
C. 13 minutes 20 seconds
D. 16 minutes

Correct Answer: Option C


Explanation:
Original speed = 10 km / (12/60 hours) = 50 km/h. New speed = 50 - 5 = 45 km/h. New time = 10 / 45 hours = 2/9 hours = (2/9) * 60 minutes = 40/3 minutes = 13 minutes 20 seconds.

This question belongs to: Maths Time Speed and Distance
Question #3
A cargo train running at 64 km/h overtakes a cyclist riding at 10 km/h in the same direction in 10 seconds. Find the length of the train.
A. 140 meters
B. 180 meters
C. 150 meters
D. 160 meters

Correct Answer: Option C


Explanation:
Relative speed = 64 - 10 = 54 km/h = 54 * (5/18) = 15 m/s. Length of train = Relative speed * Time = 15 * 10 = 150 meters.

This question belongs to: Maths Time Speed and Distance