Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips.
Home | About Us | Contact Us | Privacy | Math Blog
Train Passes through a Bridge
When the train passes through a bridge or platform or tunnel or a stationary object having some length
If length of train = x meters and length of the stationery object = y meters.
Also, speed of the train is z km/hr, then time taken by the train to pass the stationary object having length y meters.
= (length of the train + length of stationary object)/speed of the train
= (x meters + y meters)/z km/hr
Note: Change km/hr to m/sec.
Solved examples to calculate when the train passes through a bridge or a stationary object having some length.
1. A train 175 m
long crosses a bridge which is 125 m long in 80 seconds. What is the speed of
the train?
Solution:
Length of the train = 175 m.
Length of the bridge = 225 m
Distance covered by the train to cross the bridge = (175 + 225) m
= 400 m
Time taken by the train to cross the bridge = 80 seconds
Speed = distance/time
= 400/80 m/sec
= 5 m/sec.
2. A train 220 m long is running at a speed of 36 km/hr. What time will it take to cross a 110 m long tunnel?
Solution:
Length of the train = 220 m
Length of the tunnel = 110 m
Therefore, length of the train + length of the tunnel = (220 + 110) m = 330m
Speed of the train = 36 km/hr
Speed of the train = 36 × 5/18 m/sec = 10 m/sec
Therefore, time taken by the train to cross the tunnel = 330 m/10 m/sec.
= 33 seconds.
3. Find the time taken by 150 m long train passes through a bridge which is 100 m long, running at a speed of 72 km/hr.
Solution:
Speed of train = 72 km/hr = 72 × 5/18 m/sec = 20 m/sec
In order to cross a bridge of length 100 m, the train will have to cover a distance = (150 + 100) m = 250 m
Thus, speed = 20 m/sec and distance = 250 m
Time = distance/speed
= 250m/20 m/sec
= 25/2 sec
= 12.5 sec.
4. A 90 m long train is running at a speed of 54 km/hr. If it takes 30 seconds to cross a platform, find the length of the platform.
Solution:
Speed of the train = 54 km/hr = 54 × 5/18 m/sec = 15 m/sec
Time taken to cross the bridge = 30 sec
Distance covered by train to cross the platform = speed × time
= (15 × 30) m
= 450 m
To cross the platform, train covers a distance = length of train + length of platform
450 m = 90 m + length of platform
Therefore, length of platform = (450 – 90) m = 360 m
Relationship between Speed, Distance and Time
Problems on Calculating Distance
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
Two Trains Passes in the Same Direction
Two Trains Passes in the Opposite Direction
8th Grade Math Practice
From Train Passes through a Bridge to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Worksheet on Area, Perimeter and Volume | Square, Rectangle, Cube,Cubo
Jul 28, 25 01:52 PM
In this worksheet on area perimeter and volume you will get different types of questions on find the perimeter of a rectangle, find the perimeter of a square, find the area of a rectangle, find the ar… -
Worksheet on Volume of a Cube and Cuboid |The Volume of a RectangleBox
Jul 25, 25 03:15 AM
We will practice the questions given in the worksheet on volume of a cube and cuboid. We know the volume of an object is the amount of space occupied by the object.1. Fill in the blanks: -
Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume
Jul 24, 25 03:46 PM
Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur… -
Volume of a Cube | How to Calculate the Volume of a Cube? | Examples
Jul 23, 25 11:37 AM
A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure i… -
5th Grade Volume | Units of Volume | Measurement of Volume|Cubic Units
Jul 20, 25 10:22 AM
Volume is the amount of space enclosed by an object or shape, how much 3-dimensional space (length, height, and width) it occupies. A flat shape like triangle, square and rectangle occupies surface on…
Worksheet on Conversion of Units of Speed
Worksheet on Calculating Speed
Worksheet on Calculating Distance
Worksheet on Train Passes through a Pole
Worksheet on Train Passes through a Bridge
Worksheet on Decimal into Percentage
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.