Two trains 120 meters and 180 meters long are running in opposite directions at speeds of 42 km/h and 48 km/h respectively. In what time will they cross each other? MCQ with Answer and Explanation

Two trains 120 meters and 180 meters long are running in opposite directions at speeds of 42 km/h and 48 km/h respectively. In what time will they cross each other?
A. 14 seconds
B. 16 seconds
C. 12 seconds
D. 10 seconds
Answer: Option C
Solution (By JKExamLibrary)
Total distance = 120 + 180 = 300 meters. Relative speed in opposite directions = 42 + 48 = 90 km/h = 25 m/s. Time taken = 300 / 25 = 12 seconds.

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 man starts walking from a place P at 4 AM at a speed of 5 km/h. Another man starts from the same place P at 6 AM in the same direction at a speed of 7 km/h. At what time will they meet?
A. 11:00 AM
B. 12:00 PM
C. 10:00 AM
D. 1:00 PM

Correct Answer: Option A


Explanation:
By 6:00 AM, the first man has traveled for 2 hours, covering 5 * 2 = 10 km. Relative speed = 7 - 5 = 2 km/h. Time to meet = 10 / 2 = 5 hours. Meeting time = 6:00 AM + 5 hours = 11:00 AM.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
Excluding stoppages, the speed of a train is 90 km/h and including stoppages it is 75 km/h. How many minutes does the train stop per hour?
A. 8 minutes
B. 10 minutes
C. 12 minutes
D. 15 minutes

Correct Answer: Option B


Explanation:
Stoppage time per hour = (90 - 75) / 90 = 15 / 90 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A train passes a static platform signal mast in 15 seconds and clears the 250-meter platform sector itself in 25 seconds. Find the length of the train.
A. 400 meters
B. 325 meters
C. 350 meters
D. 375 meters

Correct Answer: Option D


Explanation:
Time allocated to clear the platform alone = 25 - 15 = 10 seconds. Speed of train = 250 / 10 = 25 m/s. Length of train = Speed * Time to pass mast = 25 * 15 = 375 meters.

This question belongs to: Maths Time Speed and Distance