# Top 300 Problems on Trains MCQ Questions and Answers

## Problems on Trains Multiple Choice Questions

1. Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.2 km and 0.9 km respectively. How long will they take to cross each other?
A. 30.2 sec
B. 40.3 sec
C. 50.4 sec
D. 60.5 sec

Explanation: Since the trains are moving in opposite directions, their relative speed is (60+90) km/hr = 150 km/hr. We convert this speed from km/hr to m/sec by multiplying by 5/18, so relative speed = 150*(5/18) m/sec = 125/3 m/sec. The total distance to be covered is the sum of the lengths of the two trains, which is 1.2 km + 0.9 km = 2.1 km = 2100 m. The time they take to cross each other is Distance/Speed = 2100 m / (125/3) m/sec = 50.4 sec.

2. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A. 200 m
B. 240 m
C. 280 m
D. 320 m

Explanation: The train’s speed is 54 km/hr, which is 54*(5/18) m/sec = 15 m/sec.
The length of the train is Speed * Time = 15 m/sec * 20 sec = 300 m.
When the train crosses the platform, it travels the length of the train plus the length of the platform in 36 seconds. So, 300 m + length of platform = 15 m/sec * 36 sec.
Solving for the platform’s length gives the platform’s length = 540 m – 300 m = 240 m.

3. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A. 150 m
B. 120 m
C. 180 m
D. 200 m

Explanation: We know that, Distance = Speed * Time.
Here, Distance is the length of the train and time = 9 seconds.
We convert speed from km/hr to m/sec by multiplying by 5/18, so Speed = 60*(5/18) m/sec = 50/3 m/sec.
Therefore,
Distance = Speed * Time = 50/3 m/sec * 9 sec = 150 m.
So, the length of the train is 150 m.

4. Two trains of length 110 m and 90 m are running on parallel lines in the same direction at 45 km/hr and 30 km/hr respectively. In what time will the first train pass the second train?
A. 28 sec
B. 36 sec
C. 42 sec
D. 48 sec