Two trains of equal length cross a pole in 10 seconds and 20 seconds respectively. If the length of each train is 100 meters, find the time taken by them to pass each other when running in opposite directions. MCQ with Answer and Explanation

Two trains of equal length cross a pole in 10 seconds and 20 seconds respectively. If the length of each train is 100 meters, find the time taken by them to pass each other when running in opposite directions.
A. 12.24 seconds
B. 15.00 seconds
C. 13.33 seconds
D. 14.50 seconds
Answer: Option C
Solution (By JKSSB Mock Tests)
Speed of first train = 100 / 10 = 10 m/s. Speed of second train = 100 / 20 = 5 m/s. Total distance to cross = 100 + 100 = 200 meters. Relative speed in opposite directions = 10 + 5 = 15 m/s. Time taken = 200 / 15 = 13.33 seconds.

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Practice More Time Speed and Distance Questions

Question #1
A person wins a 100-meter race in 12 seconds, while the runner-up finishes in 13 seconds. By what distance did the winner beat the runner-up?
A. 7.24 meters
B. 8.12 meters
C. 8.50 meters
D. 7.69 meters

Correct Answer: Option D


Explanation:
Speed of runner-up = 100 / 13 m/s. Distance covered by runner-up in 12 seconds = (100 / 13) * 12 = 1200 / 13 = 92.31 meters. Beat distance = 100 - 92.31 = 7.69 meters.

This question belongs to: Maths Time Speed and Distance
Question #2
A cyclist covers a 1500-meter course in 5 minutes. Find his speed in km/h.
A. 20 km/h
B. 15 km/h
C. 18 km/h
D. 24 km/h

Correct Answer: Option C


Explanation:
Time = 5 minutes = 300 seconds. Speed = 1500 / 300 = 5 m/s. Converting to km/h = 5 * (18/5) = 18 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A train 150 meters long completely passes a stone in 15 seconds. Find the speed of the train in km/h.
A. 30 km/h
B. 45 km/h
C. 40 km/h
D. 36 km/h

Correct Answer: Option D


Explanation:
Speed of train = 150 / 15 = 10 m/s. In km/h = 10 * (18/5) = 36 km/h.

This question belongs to: Maths Time Speed and Distance