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?
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?
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?
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
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.