The speeds of two parallel running trains are in the ratio 5 : 4. Moving in opposite directions, they take 6 seconds each to pass a stationary signal post. Find the total time they take to cross each other completely. MCQ with Answer and Explanation

The speeds of two parallel running trains are in the ratio 5 : 4. Moving in opposite directions, they take 6 seconds each to pass a stationary signal post. Find the total time they take to cross each other completely.
A. 6.6 seconds
B. 6.0 seconds
C. 5.4 seconds
D. 7.2 seconds
Answer: Option B
Solution (By JKExamLibrary)
Let the speeds be 5x and 4x. Length of first train = 5x * 6 = 30x. Length of second train = 4x * 6 = 24x. Total passing distance = 30x + 24x = 54x. Relative speed = 5x + 4x = 9x. Time taken to cross each other = 54x / 9x = 6 seconds.

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Practice More Time Speed and Distance Questions

Question #1
Excluding stoppages, the speed of a regional transit bus is 48 km/h and including stoppages it is 40 km/h. For how many minutes does the bus stop per hour?
A. 12 minutes
B. 8 minutes
C. 15 minutes
D. 10 minutes

Correct Answer: Option D


Explanation:
Stoppage time per hour = (48 - 40) / 48 = 8 / 48 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance
Question #2
A swimmer registers a pace track of 15 km downstream in 3 hours and handles 9 km upstream back in 3 hours. Find the net tracking speed of the current flow.
A. 1.2 km/h
B. 0.8 km/h
C. 1.0 km/h
D. 1.5 km/h

Correct Answer: Option C


Explanation:
Downstream speed = 15 / 3 = 5 km/h. Upstream speed = 9 / 3 = 3 km/h. Speed of current flow = (5 - 3) / 2 = 2 / 2 = 1.0 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A train passes a standing passenger in 8 seconds and crosses a 180-meter long platform in 17 seconds. Find the speed of the train.
A. 20 m/s
B. 24 m/s
C. 22 m/s
D. 18 m/s

Correct Answer: Option A


Explanation:
Time taken to pass the platform alone = 17 - 8 = 9 seconds. Speed of train = 180 / 9 = 20 m/s.

This question belongs to: Maths Time Speed and Distance