Gain complete knowledge on the concept Train Passes a Moving Object in the Same Direction. Learn related formulas like Speed, Time and Distance when a train passes through a moving object in the Same Direction. Get the Step by Step Procedure along with a detailed explanation for the entire concept. Solve Problems on Train Passing a Moving Object in the Same Direction and understand the concept behind them easily.
How to find Time Speed and Distance when a Train Passes a Moving Object in the Same Direction?
Follow the guidelines for calculating the Time Speed and Distance when a Train Passes a Moving Body in the Same Direction. They are as such
Let us consider the length of the train as l mt and the speed of the train is x km/hr
Speed of the Object = y km/hr
Relative Speed = (x-y) km/hr
Time Taken by the train to cross a moving object in the same direction is = Distance/ Relative Speed
= l m/(x-y) km/hr
You can rearrange the equation and find whichever measure you need as a part of your work.
Solved Problems on Train Passes through a Moving Object in the Same Direction
1. A train 150 m long is running at a speed of 50 km/hr. At what time will it pass a man who is running at the speed of 5 km/hr in the same direction in which the train is moving?
Solution:
Length of the Train = 150 m
Speed of the Train = 50 Km/hr
Speed of the Man = 5 km/hr
Relative Speed = Speed of Train – Speed of Man
= 50 – 5
= 45 km/hr
= 45 *5/18
= 12.5 m/sec
Time Taken by Train to Cross the Man = Distance/Speed
= 150 m/12.5 m/sec
= 12 sec
Therefore, Train takes 12 sec to cross the man.
2. Two trains 110 meters and 140 meters long are running in the same direction with speeds of 70 km/hr and 55 km/hr. In how much time will the first train cross the second?
Solution:
Distance Covered = 110+140
= 250 meters
Speed of first train = 70 km/hr
Speed of second train = 55 km/hr
Relative Speed = (70 – 55)
= 15 km/hr
Relative Speed in m/sec = 15*5/18
= 4.1 m/sec
Time taken by first train to cross second = Distance/Speed
= 250 m/4.1 m/sec
= 60.9 sec
Therefore, the first train takes 60.9 sec to cross the second train.
3. A train running at 60 kmph takes 30 seconds to pass a platform. Next, it takes 10 seconds to pass a man walking at 5 kmph in the same direction in which the train is going. Find the length of the train and the length of the platform?
Solution:
Let us consider the length of the train and length of the platform as x and y
Distance traveled by train while crossing the platform is x+y
Time taken to cross the platform is 30 sec
Speed of the train = 60 kmph
= 60 *5/18
= 16.66 m/sec
Time taken by train to cross the platform is
Time = Distance/Speed
30 =(x+y)/16.66 …….(1)
Time taken by train to cross the platform next = 10 sec
Speed of the man = 5 kmph
Relative Speed = 60 kmph – 5 kmph
= 55 kmph
= 55 *5/18
= 15.2 m/sec
Time taken by train to cross the man is
Time = Distance/Speed
10 sec = x/(15.2 m/sec)
x = 152.7 m
By applying the value of x in equation 1 we have
30 =(152.7+y)/16.66
499.8 = 152.7+y
y = 347.1 m
Hence the length of the train and platform are 152.7 m and 347.1 m respectively.