Home » Aptitude » Problems on Trains

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

Difficulty: Medium

78 km/h
79.2 km/h
80.4 km/h
81.5 km/h

Correct Answer: 79.2 km/h

Explanation:

We are given:

Time to cross telegraph post = 8 s
Time to cross bridge of 264 m = 20 s

Step 1: Let the train length be L
When train crosses post: L / 8 When train crosses bridge: (L + 264) / 20

Step 2: Equating both speeds
L / 8 = (L + 264) / 20 20L = 8L + 2112 12L = 2112 ⇒ L = 176 m

Step 3: Calculate speed
Speed = 176 / 8 = 22 m/s Convert to km/h: 22 × (18 / 5) = 79.2 km/h

Answer:
The speed of the train is 79.2 km/h

← Previous Question Next Question→

More Questions from Problems on Trains

A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
A train travelling at a speed of 75 mph enters a tunnel 3½ miles long. The train is ¼ mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:
A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
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 train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion