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
-
How to Do Long Division? | Method | Steps | Examples | Worksheets |Ans
Jan 23, 25 02:43 PM
As we know that the division is to distribute a given value or quantity into groups having equal values. In long division, values at the individual place (Thousands, Hundreds, Tens, Ones) are dividend… -
Long Division Method with Regrouping and without Remainder | Division
Jan 23, 25 02:25 PM
We will discuss here how to solve step-by-step the long division method with regrouping and without remainder. Consider the following examples: 468 ÷ 3 -
Long Division Method Without Regrouping and Without Remainder | Divide
Jan 23, 25 10:44 AM
We will discuss here how to solve step-by-step the long division method without regrouping and without remainder. Consider the following examples: 1. 848 ÷ 4 -
Relationship between Multiplication and Division |Inverse Relationship
Jan 23, 25 02:00 AM
We know that multiplication is repeated addition and division is repeated subtraction. This means that multiplication and division are inverse operation. Let us understand this with the following exam… -
Divide by Repeated Subtraction | Division as Repeated Subtraction
Jan 22, 25 02:23 PM
How to divide by repeated subtraction? We will learn how to find the quotient and remainder by the method of repeated subtraction a division problem may be solved.
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.