Tricks to solve Train Problems
Introduction
In case of Train, The Distance covered by the Train = Length of Train + Length of Object
You have to keep in mind some Formulae which are given below:
Conversion of km/hr into meter/sec
Following formula is used in this case
Conversion of meter/sec into km/h
The formula is:
We can find the basic formula for the time required for a train to cross different type of objects.
Different types of Objects
On the basis of various types of objects that a train has to cross, we find the following different cases:Question
A train 110 meter long travels at 60 km/h. How long does it take to cross,
a) a telegraph post
b) a man running at 6 km/h in the same direction
c) a man running at 6 km/h in the opposite direction
d) a platform 240 meter long
e) another train 170 meter long standing on another parallel track
f) another train 170 meter long, running at 54 km/h in same direction
g) another train 170 meter long, running at 80 km/h in opposite direction
Solution
a) We have to convert the speed of train from km per hour to meter per second by applying following formula:
Speed of Train = 60 km/h × 5/18 m/sec
a) We have to convert the speed of train from km per hour to meter per second by applying following formula:
Speed of Train = 60 km/h × 5/18 m/sec
The telegraph post is a stationary object with negligible length so following formula will be applied:
t = Length of Train/Speed of Train
Crossing Time =
t = Length of Train/Speed of Train
Crossing Time =
b) The man is running in the same direction that means object is moving but of negligible length. Hence, formula will be:
Time = Length of Train / Speed of Train - Speed of Man
Crossing Time =
c) The man is running in the opposite direction so following formula will be applied:
Crossing Time = Length of Train / Speed of Train + Speed of Man
Crossing Time =
Crossing Time = Length of Train / Speed of Train + Speed of Man
Crossing Time =
d) The platform is stationary but of some length so, following formula will be applied:
Crossing Time = Length of Train + Length of Platform / Speed of Train
Crossing Time = Length of Train + Length of Platform / Speed of Train
Crossing Time = Length of First Train + Length of Second (Stationary) Train / Speed of Train
f) Another train is running in the same direction, then following formula will be applied:
Crossing Time = (Length of First Train + Length of Second Train) / (Speed of First Train - Speed of Second Train)
Crossing Time =
Crossing Time = (Length of First Train + Length of Second Train) / (Speed of First Train - Speed of Second Train)
Crossing Time =
g) Another train is running in opposite direction so following formula will be applied
Crossing Time = Length of First Train + Length of Second Train / Speed of
Tricky Question
You have to learn the basic formulae only then you can easily solve any question from this chapter.
Question
A train passes a platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/h, find the length of the platform.
Solution
Speed = Distance /Time
Because Time is given in seconds so we have to convert the speed into meter/second.
Speed (Velocity) = 54 × 5/18 = 15 meter per second
Question
A train passes a platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/h, find the length of the platform.
Solution
Speed = Distance /Time
Because Time is given in seconds so we have to convert the speed into meter/second.
Speed (Velocity) = 54 × 5/18 = 15 meter per second
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