A train 300 meters long crosses a platform of length 600 meters in 45 seconds. What is the speed of the train in km/h? MCQ with Answer and Explanation

Question
A train 300 meters long crosses a platform of length 600 meters in 45 seconds. What is the speed of the train in km/h?
A. 80 km/h
B. 72 km/h
C. 60 km/h
D. 90 km/h
Answer: Option B
Solution (By JKSSB Mock Tests)
Total distance = 300 + 600 = 900 meters. Speed = 900 / 45 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
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Question #1
A train 120 meters long running at 54 km/h passes a standing pedestrian. Find the time taken to cross.
A. 10 seconds
B. 9 seconds
C. 7 seconds
D. 8 seconds
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Correct Answer: Option D

Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Time taken = 120 / 15 = 8 seconds.
This question belongs to: Maths Time Speed and Distance
Question #2
In a 500-meter dash trial heat, runner A clocks across the tape in 50 seconds, while runner B marks a finish layout in 55 seconds. By what distance does runner A beat runner B?
A. 48.25 meters
B. 42.34 meters
C. 45.45 meters
D. 50.00 meters
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Correct Answer: Option C

Explanation:
Speed of runner B = 500 / 55 = 100 / 11 m/s. Distance covered by runner B when runner A finishes at 50 seconds = (100 / 11) * 50 = 5000 / 11 = 454.54 meters. Margin distance = 500 - 454.54 = 45.45 meters.
This question belongs to: Maths Time Speed and Distance
Question #3
A train 270 meters long is moving at a speed of 120 km/h. In how much time will it cross a man coming from the opposite direction at a speed of 15 km/h?
A. 8.4 seconds
B. 6.8 seconds
C. 7.2 seconds
D. 7.8 seconds
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Correct Answer: Option C

Explanation:
Relative speed = 120 + 15 = 135 km/h = 135 * (5/18) = 37.5 m/s. Time = Distance / Speed = 270 / 37.5 = 7.2 seconds.
This question belongs to: Maths Time Speed and Distance
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