Worksheet on Train Passes through a Pole | Train Crosses an Object Problems

Worksheet on Train Passes through a Pole is the best source to learn the Train Passes through Pole problems. Here all the practice questions are included along with the answers and explanation. Students can refer to all problems available on Train Passes through a Pole Worksheets and know the different problems impose in the exam.

Students can get Time and Distance Worksheets for better practice. All the concepts are explained clearly with a detailed explanation. Know how to find Train Passes through a Pole problem here. The formula to find a train to pass the stationary object = length of the train/speed of the train.

1. A train 120 m long is running at a uniform speed of 36 km/hr. How much time will it take to cross a pole?

Solution:

Given that a train 120 m long is running at a uniform speed of 36 km/hr.
So, from the given data, speed = 36 km/hr, and the length of the train is 120m.
The speed of the train = 36 km/hr.
Now, 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 a pole.
Time taken by the train to cross a pole = length of train/speed of the train.
Time taken by the train to cross a pole = 120m/10 m/sec = 12 sec.

The train takes 12 seconds to cross the pole.


2. Find the time taken by a train 800 m long, running at a speed of 72 km/hr in crossing the pole.

Solution:

Given that the time taken by a train 800 m long, running at a speed of 72 km/hr in crossing the pole.
So, from the given data, speed = 72 km/hr, and the length of the train is 800 m long.
The speed of the train = 72 km/hr.
Now, 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 a pole.
Time taken by the train to cross a pole = length of train/speed of the train.
Time taken by the train to cross a pole = 800m/20 m/sec = 4 sec.

The train takes 4 seconds to cross the pole.


3. A train is running at a speed of 90 km/hr. It crosses a tower in 16 seconds. Find the length of the train.

Solution:

Given that a train is running at a speed of 90 km/hr. It crosses a tower in 16 seconds.
So, from the given data, speed = 90 km/hr, and time is taken by a train is 16 seconds.
The speed of the train = 90 km/hr.
Now, convert km/hr into m/sec.
Multiply km/hr with 5/18 to convert it into m/sec.
km/hr × 5/18 = m/sec
90 km/hr × 5/18 = 25 m/sec.
Now, find the Length of the train.
Length of the train = speed × time
Length of the train = 25 m/sec × 16 sec
The Length of the train = 400 m

The Length of the train is 400 m that crosses a tower in 16 seconds.


4. A train is running at a speed of 63 km/hr. if it crosses a pole in just 14 seconds, what is the length of the train?

Solution:

Given that a train is running at a speed of 63 km/hr. if it crosses a pole in just 14 seconds.
So, from the given data, speed = 63 km/hr, and the time taken by a train is 14 seconds.
The speed of the train = 63 km/hr.
Now, convert km/hr into m/sec.
Multiply km/hr with 5/18 to convert it into m/sec.
km/hr × 5/18 = m/sec
63 km/hr × 5/18 = 17.5 m/sec.
Now, find the Length of the train.
Length of the train = speed × time
Length of the train = 17.5 m/sec × 14 sec
The Length of the train = 245 m

The Length of the train is 245 m that crosses a pole in 14 seconds.


5. A train 60 m long is running at a speed of 36 km/hr. How much time will it take to cross a man standing on the platform?

Solution:

Given that a train 60 m long is running at a speed of 36 km/hr.
So, from the given data, speed = 36 km/hr, and the length of the train is 60 m.
The speed of the train = 36 km/hr.
Now, 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 a man standing on the platform.
Time taken by the train to cross a man standing on the platform = length of train/speed of the train.
Time taken by the train to cross a man standing on the platform = 60m/10 m/sec = 6 sec.

The train takes 6 seconds to cross a man standing on the platform.


6. A train 180 m long cross a tree in 10 seconds. Find the speed of the train in km/hr?

Solution:

Given that a train 180 m long cross a tree in 10 seconds.
So, from the given data, the length of the train is 180 m and time = 10 seconds.
We know that Length of the train = speed × time
Speed = Length of the train/time
Speed = 180 m/10 seconds
The speed = 18 m/sec
The speed of the train = 18 m/sec.
Now, convert m/sec into km/hr.
Multiply m/sec with 18/5 to convert it into km/hr.
m/sec × 18/5 = km/hr
18 m/sec × 18/5 = 64.8 km/hr
The speed of the train is 64.8 km/hr.

The train travels at a speed of 64.8 km/hr to cross a tree in 10 seconds.


7. A train is running at a speed of 22.5 km/hr. It crosses the pole in 20 seconds. Find the length of the train.

Solution:

Given that a train is running at a speed of 22.5 km/hr. It crosses the pole in 20 seconds.
So, from the given data, the speed = 22.5 km/hr and time = 20 seconds.
The speed of the train = 22.5 km/hr.
Now, convert km/hr into m/sec.
Multiply km/hr with 5/18 to convert it into m/sec.
km/hr × 5/18 = m/sec
22.5 km/hr × 5/18 = 6.25 m/sec.
Now, find the Length of the train.
Length of the train = speed × time
Length of the train = 6.25 m/sec × 20 sec
The Length of the train = 125 m

The Length of the train is 125 m that crosses a pole in 20 seconds.


8. A train 80 m long is running at a uniform speed of 36 km/hr. How much time will it take to cross a pole?

Solution:

Given that a train 80 m long is running at a uniform speed of 36 km/hr.
So, from the given data, speed = 36 km/hr, and the Length of the train is 80 m long.
The speed of the train = 36 km/hr.
Now, 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 a pole.
Time taken by the train to cross a pole = length of train/speed of the train.
Time taken by the train to cross a pole = 80 m/10 m/sec = 8 sec.

The train takes 8 seconds to cross the pole.


9. A train is running at a speed of 120 km/hr. It crosses the tower in 18 seconds; find the length of the train?

Solution:

Given that a train is running at a speed of 120 km/hr. It crosses the tower in 18 seconds.
So, from the given data, speed = 120 km/hr, and the time taken by a train is 18 seconds.
The speed of the train = 120 km/hr.
Now, 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 (approximately).
Now, find the Length of the train.
Length of the train = speed × time
Length of the train = 33.33 m/sec × 18 sec
The Length of the train = 600 m

The Length of the train is 600 m that crosses a tower in 18 seconds.


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