# Train Passes a Moving Object in the Same Direction | Problems on Train Crossing a Moving Body in Same Direction

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.

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