Speed of train will help us to calculate different types of problems on motion.
1. When a train passes a stationary object:
Let x be the length of the train which includes the engine also. When the end of the train passes the object, then the engine of the train has to move a distance equal to the train.
Then the time taken by the train to pass the stationary object = length of the train/speed of the train
2. When a train passes a stationary object having some length:
When the end of the train passes the stationary object having some length, then the engine of the train has to move a distance equal to the sum of the length of the train and stationary object.
Then the time taken by the train to pass the stationary object = (length of the train + length of the stationary object)/speed of the train
Problems to calculate the motion or speed of train:
1. Find the time taken by a train 150 m long, running at a speed of 90 km/hr in crossing the pole.
Solution:
Length of the train = 150m
Speed of the train = 90 km/hr
= 90 × 5/18 m/sec
= 25m/sec
Therefore, time taken by the train to cross the pole = 150 m/25m/sec = 6 seconds.
2. A train 340 m long is running at a speed of 45 km/hr. what time will it take to cross a 160 m long tunnel?
Solution:
Length of the train = 340 m
Length of the tunnel = 160m
Therefore, length of the train + length of the tunnel = (340 + 160) m = 500m
Speed of the train = 45 km/hr
Speed of the train = 45 × 5/18 m/sec
= 25/2 m/sec
= 12.5 m/sec
Therefore, time taken by the train to cross the tunnel = 500 m/12.5 m/sec.
= 40 seconds.
3. A train is running at a speed of 90 km/hr. if it crosses a pole in just 10 second, what is the length of the train?
Solution:
Speed of the train = 90 km/hr
Speed of the train = 90 × 5/18 m/sec = 25 m/sec
Time taken by the train to cross the pole = 10 seconds
Therefore, length of the train = 25 m/sec × 10 sec = 250 m
4. A train 280 m long crosses the bridge 170 m in 22.5 seconds. Find the speed of the train in km/hr
Solution:
Length of the train = 280 m
Length of the bridge = 170 m
Therefore, length of the train + length of the bridge = 280 m + 170 m = 450 m
Time taken by the train to cross the bridge = 22.5 sec = 45/2 sec.
Therefore, speed of train = 450 m/22.5 m/sec = 450/45/2 m/sec = 20 m/sec
To convert the speed from m/sec to km/hr, multiply by 18/5
Therefore, speed of the train = 20 × 18/5 km/hr = 72 km/hr
Speed of Train
Relationship between Speed, Distance and Time
Conversion of Units of Speed
Problems on Calculating Speed
Problems on Calculating Distance
Problems on Calculating Time
Two Objects Move in Same Direction
Two Objects Move in Opposite Direction
Train Passes a Moving Object in the Same Direction
Train Passes a Moving Object in the Opposite Direction
Train Passes through a Pole
Train Passes through a Bridge
Two Trains Passes in the Same Direction
Two Trains Passes in the Opposite Direction
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get a train crosses an electric pole in 5 seconds and a railway bridge of 600 m long in 35 seconds. find the speed of the train in km/h and length of the train. from screen.
[Solved] A train crosses a pole in 5 seconds and crosses the tunnel i
Given: Time to cross the pole = 5 sec Time to crosses the tunnel = 20 sec Formula used: Speed = Distance/Time Calculation: Let the length of the tunn
Home Quantitative Aptitude Speed Time and Distance Problem on Trains Train Crossing a Platform
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A train crosses a pole in 5 seconds and crosses the tunnel in 20 seconds. If the speed of the train 90 m/s, then find the length of the tunnel.
1350 m 900 m 1200 m 800 m
Answer (Detailed Solution Below)
Option 1 : 1350 m
Detailed Solution
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Given:Time to cross the pole = 5 sec
Time to crosses the tunnel = 20 sec
Formula used:Speed = Distance/Time
Calculation:Let the length of the tunnel be x m and the length of the train be y m
Time = Distance/Speed
⇒ 5 = (y/90) ⇒ y = 450 m
Time to crosses the tunnel = Distance/Speed
⇒ 20 = (y + x)/90
⇒ 20 × 90 = (450 + x)
⇒ x = 1800 - 450 = 1350
∴ The length of the tunnel is 1350 m.Download Solution PDF
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A train crosses a pole in 15 seconds while it crosses a 100 m long platform in 25 seconds. The length of the train is
Click here👆to get an answer to your question ✍️ A train crosses a pole in 15 seconds while it crosses a 100 m long platform in 25 seconds. The length of the train is
Question
A train crosses a pole in 15 seconds while it crosses a 100 m long platform in 25 seconds. The length of the train is
A125 m
B135 m
C150 m
D175 m
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A train passes over a 600m long bridge. If the speed of a train is 40 metres per second and the train takes 20 seconds to cross the bridge, then what is the length of the train?
Answer (1 of 8):
A train passes over a 600m long bridge. If the speed of a train is 40 metres per second and the train takes 20 seconds to cross the bridge, then what is the length of the train?
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8 Answers Rajashri Gavali
, Software Developer
Answered 1 year ago · Upvoted by
Rangareddy Yarramreddy
, Ph.D Physics, Kakatiya University (1980) · Author has 935 answers and 324.9K answer views
681 viewsView upvotes
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Srishti Bajaj
, works at Amity International School, Mayur Vihar
Answered 1 year ago
Let us consider the length of the train to be xm
The total distance covered by the train is (600 + x)
speed of the train is 40m/s and it covers the bridge in 20sec.
Speed = Distance/Time
40=x+600/20 800=x+600 x=200m
So the length of the train is 200m.
1.9K viewsView upvotes
Amit Arora
, MCA from Indira Gandhi National Open University (2011)
Answered 1 year ago · Author has 456 answers and 188.2K answer views
Let length of train =x
Total distance to be covered by train= length of the train + length of bridge= x + 600
(x+600)/40=20 x+600=800 x = 200
so length of train is 200 m
184 views
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Saipujitha Sajjavarapu
, lives in Eluru, Andhra Pradesh, India (2020-present)
Answered 1 year ago · Author has 74 answers and 22.1K answer views
Given that a train passes over a 600 m long bridge and train speed is 40 m/s and the train takes 20seconds to cross the bridge
Let x be the length of the train
=>Length of the train=speed of train X time
=>600+x=40×20 =>x=200m
Therefore the length of the train is 200m
140 views Related questions
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A man is standing on a railway bridge which is 180m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. What is the length of the train and its speed?
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A train passes over a bridge with a length of 200 m in 40 seconds. If the speed of the train is 81 km/hr, then what is the length?
Chinnasamy Karunanidhi
, studied at Cost and Management Accountants
Answered 1 year ago · Author has 148 answers and 39.6K answer views
The speed of the train is 40 metres per second
The time taken to cross the bridge is 20 second
The distance travelled =20*40=800 metres
The length of the train=800–600=200 metres
255 views Jayanta Mukherjee
, B Tech IEE Instrumentation Engineering, Jadavpur University (1990)
Answered 1 year ago · Author has 9.8K answers and 4.1M answer views
In 20 seconds, the train travels (40 * 20) metres = 800 metres; which is equal to the sum of lengths of the bridge and the train.
Length of the bridge = 600 metres
Length of the train = (800 - 600) metres = 200 metres.
94 views Rajeev Malhotra , Home Tutor
Answered 1 year ago · Author has 1.8K answers and 285.1K answer views
Speed of train = 40 m/s and time taken = 20 seconds
Distance covered by train = speed x time
D = 40 x 20 = 800 m
D = length of train + length of bridge
800 = length of train +600
length of train = 800–600 = 200 m
1.7K views
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K S Narayanan
, Cost Accountant having 24 years Telecom Experience
Answered 1 year ago · Author has 5.6K answers and 8.4M answer views
Train covers 40 x 20 = 800 metres in 20 seconds.
This distance is equal to length of train + length of bridge.
=> Length of train = 800 - 600 = 200m.
:-) 124 views Related answers Related Answer Rahul Munet
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Answered 2 years ago
A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200m. What is the length of the train?
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