Avail the Worksheet on Train Passes through a Bridge to solve different problems. Students can understand the simple method to solve Train Passes through Tunnel Problems. The best way to learn the Concept of Train Crossing a Bridge is by practicing with Train Passes through Bridge Worksheets. We are also providing Time and Distance Worksheets for free so that you can refer to them and ace up your preparation.
We know The relationship between distance, speed, and time is Speed = Distance / Time.
While finding The time taken by a Train Passes through a Bridge or Tunnel problems, add the lengths of the train and bridge.
Time taken by the train to pass the stationary object = (length of the train + length of a stationary object)/speed of the train.
1. A train 160 m long crosses a bridge which is 40 m long in 20 seconds. What is the speed of the train?
Solution:
Given that a train 160 m long crosses a bridge which is 40 m long in 20 seconds.
So, from the given data, time = 20 seconds, the length of the train is 160 m, and the length of the bridge is 40 m.
Now, find the total distance covered by the train to cross the bridge.
Distance covered by the train to cross the bridge = (160 + 40) m
Distance covered by the train to cross the bridge = 200 m
Now, find the speed of the train.
Speed of the train = distance/time
Speed of the train = 200 m/20 sec
The Speed of the train = 10 m/sec.
The Speed of the train is 10m/sec long crosses a bridge which is 40 m long in 20 seconds.
2. A train 110 m long is running at a speed of 72 km/hr. What time will it take to cross a 55 m long tunnel?
Solution:
Given that a train 110 m long is running at a speed of 72 km/hr.
So, from the given data, speed = 72 km/hr, the length of the train is 110 m, and the length of the long tunnel is 55 m.
Now, find the total distance covered by the train to cross the bridge.
Distance covered by the train to cross the bridge = (110 + 55) m
Distance covered by the train to cross the bridge = 165 m
Now, find the speed of the train in m/sec.
convert km/hr into m/sec.
Multiply km/hr with 5/18 to convert it into m/sec.
km/hr × 5/18 = m/sec
72 km/hr × 5/18 = 20 m/sec.
Now, find the time taken by the train to cross the tunnel = distance/speed
Time taken by the train to cross the tunnel = 165 m/20 m/sec
The Time taken by the train to cross the tunnel = 8.25 sec
The time takes to cross a 55 m long tunnel is 8.25 sec.
3. Find the time taken by 75 m long train passes through a bridge which is 50 m long, running at a speed of 36 km/hr?
Solution:
Given that 75 m long train passes through a bridge which is 50 m long, running at a speed of 36 km/hr.
So, from the given data, speed = 36 km/hr, the length of the train is 75 m, and the length of the long tunnel is 50 m.
Now, find the total distance covered by the train to cross the bridge.
Distance covered by the train to cross the bridge = (75 + 50) m
Distance covered by the train to cross the bridge = 125 m
Now, find the speed of the train in m/sec.
convert km/hr into m/sec.
Multiply km/hr with 5/18 to convert it into m/sec.
km/hr × 5/18 = m/sec
36 km/hr × 5/18 = 10 m/sec.
Now, find the time taken by the train to cross the tunnel = distance/speed
Time taken by the train to cross the tunnel = 125 m/10 m/sec
The Time taken by the train to cross the tunnel = 12.5 sec
The time taken by 75 m long train passes through a bridge which is 50 m long, running at a speed of 36 km/hr is 12.5 sec.
4. A 45 m long train is running at a speed of 27 km/hr. If it takes 30 seconds to cross a platform, find the length of the platform?
Solution:
Given that a 45 m long train is running at a speed of 27 km/hr.
So, from the given data, speed = 27 km/hr, the length of the train is 45 m, and the time to cross a platform is 30 seconds.
Now, find the total distance covered by the train to cross the platform.
Distance covered by the train to cross the platform = (45 + length of the platform) m
Now, find the speed of the train in m/sec.
convert km/hr into m/sec.
Multiply km/hr with 5/18 to convert it into m/sec.
km/hr × 5/18 = m/sec
27 km/hr × 5/18 = 7.5 m/sec.
The distance covered by train to cross the platform = speed × time
Distance covered by train to cross the platform = 7.5 m/sec × 30 seconds = 225 m.
(45 + length of the platform) m = 225m
Length of the platform = 225 – 45 = 180 m
The length of the platform is 180 m.
5. How long will a train 65 m long take to clear the platform 45 m long if its speed is 60 km/hr?
Solution:
Given that a train 65 m long takes to clear the platform 45 m long if its speed is 60 km/hr.
So, from the given data, speed = 60 km/hr, the length of the train is 65 m, and the length of the platform is 45 m.
Now, find the total distance covered by the train to cross the bridge.
Distance covered by the train to cross the bridge = (65 + 45) m
Distance covered by the train to cross the bridge = 110 m
Now, find the speed of the train in m/sec.
convert km/hr into m/sec.
Multiply km/hr with 5/18 to convert it into m/sec.
km/hr × 5/18 = m/sec
60 km/hr × 5/18 = 50/3 m/sec.
Now, find the time taken by the train to clear the platform = distance/speed
Time taken by the train to clear the platform = 110 m/(50/3 m/sec)
The Time taken by the train to clear the platform = 6.6 sec
The time takes to cross the platform is 6.6 sec.
6. A train 90 m long took 30 second to pass a 30 m long tunnel. Find the speed of the train?
Solution:
Given that a train 90 m long took 30 seconds to pass a 30 m long tunnel.
So, from the given data, time = 30 seconds, the length of the train is 90 m, and the length of the tunnel is 30 m.
Now, find the total distance covered by the train to pass a 30 m long tunnel.
Distance covered by the train to cross the tunnel = (90 + 30) m
Distance covered by the train to cross the tunnel = 120 m
Now, find the speed of the train.
Speed of the train = distance/time
Speed of the train = 120 m/30 sec
The Speed of the train = 4 m/sec.
The Speed of the train is 4 m/sec.
7. A train 180 m long is running at a speed of 45 km/hr and crosses the platform in 20 seconds. Find the length of the platform?
Solution:
Given that a train 180 m long is running at a speed of 45 km/hr and crosses the platform in 20 seconds.
So, from the given data, speed = 45 km/hr, the length of the train is 180 m, and the time to cross a platform is 20 seconds.
Now, find the total distance covered by the train to cross the platform.
Distance covered by the train to cross the platform = (180 + length of the platform) m
Now, find the speed of the train in m/sec.
convert km/hr into m/sec.
Multiply km/hr with 5/18 to convert it into m/sec.
km/hr × 5/18 = m/sec
45 km/hr × 5/18 = 12.5 m/sec.
The distance covered by train to cross the platform = speed × time
Distance covered by train to cross the platform = 12.5 m/sec × 20 seconds = 250 m.
(180 + length of the platform) m = 250 m
Length of the platform = 250 – 180 = 70 m
The length of the platform is 70 m.
8. A train moving at a speed of 120 km/hr crosses the 222 m long bridge in 30 seconds. Find the length of the train?
Solution:
Given that a train moving at a speed of 120 km/hr crosses the 222 m long bridge in 30 seconds.
So, from the given data, speed = 120 km/hr, the length of the bridge is 222 m, and the time to cross a bridge is 30 seconds.
Now, find the total distance covered by the train to cross the bridge.
Distance covered by the train to cross the bridge = (222 + length of the train) m
Now, find the speed of the train in m/sec.
convert km/hr into m/sec.
Multiply km/hr with 5/18 to convert it into m/sec.
km/hr × 5/18 = m/sec
120 km/hr × 5/18 = 33.33 m/sec.
The distance covered by train to cross the platform = speed × time
Distance covered by train to cross the platform = 33.33 m/sec × 30 seconds = 1000 m.
(222 + length of the train) m = 1000 m
Length of the train = 1000 – 222 = 778 m
The length of the train is 778 m.
9. A train 25 m long crosses a bridge which is 15 m long in 40 seconds. What is the speed of the train?
Solution:
Given that a train 25 m long crosses a bridge which is 15 m long in 40 seconds.
So, from the given data, time = 40 seconds, the length of the train is 25 m, and the length of the bridge is 15 m.
Now, find the total distance covered by the train to cross the bridge.
Distance covered by the train to cross the bridge = (25 + 15) m
Distance covered by the train to cross the bridge = 40 m
Now, find the speed of the train.
Speed of the train = distance/time
Speed of the train = 40 m/40 sec
The Speed of the train = 1 m/sec.
The Speed of the train is 1 m/sec long crosses a bridge which is 15 m long in 40 seconds.
10. A 60 m long train is running at a speed of 25 km/hr. If it takes 12 seconds to cross the platform, find the length of the platform?
Solution:
Given that a 60 m long train is running at a speed of 25 km/hr.
So, from the given data, speed = 25 km/hr, the length of the train is 60 m, and the time to cross a platform is 12 seconds.
Now, find the total distance covered by the train to cross the platform.
Distance covered by the train to cross the platform = (60 + length of the platform) m
Now, find the speed of the train in m/sec.
convert km/hr into m/sec.
Multiply km/hr with 5/18 to convert it into m/sec.
km/hr × 5/18 = m/sec
25 km/hr × 5/18 = 6.94 m/sec.
The distance covered by train to cross the platform = speed × time
Distance covered by train to cross the platform = 6.94 m/sec × 12 seconds = 83.33 m.
(60 + length of the platform) m = 83.33 m
Length of the platform = 83.33 – 60 = 23.333 m
The length of the platform is 23.333 m (approximately).
11. Find the time taken by a 65 m long train to cross a tunnel which is 95 m long running at a speed of 27 km/hr?
Solution:
Given that 65 m long train to cross a tunnel which is 95 m long running at a speed of 27 km/hr.
So, from the given data, speed = 27 km/hr, the length of the train is 65 m, and the length of the long tunnel is 95 m.
Now, find the total distance covered by the train to cross the bridge.
Distance covered by the train to cross the bridge = (65 + 95) m
Distance covered by the train to cross the bridge = 160 m
Now, find the speed of the train in m/sec.
convert km/hr into m/sec.
Multiply km/hr with 5/18 to convert it into m/sec.
km/hr × 5/18 = m/sec
27 km/hr × 5/18 = 7.5 m/sec.
Now, find the time taken by the train to cross the tunnel = distance/speed
Time taken by the train to cross the tunnel = 160 m/7.5 m/sec
The Time taken by the train to cross the tunnel = 21.33 sec (approximately)
The time taken by 65 m long train to cross a tunnel which is 95 m long running at a speed of 27 km/hr is 21.33 sec (approximately).