Two Trains: 200m & 150m, 40km/hr & 45km/hr

[neha1]

1. two trains 200 meteres and 150 meters are running on the parallel rails at this rate of 40 km/hr and 45 km/hr.in how much time will they cross each other if they are running on the same direction

Homework Equations

3. speed=distance/time
train1 =200*40*5/18
train2=150*45*5/18

 

[Chi Meson]

All that matters are their relative displacement and their relative speed.

How far apart are they, initially?

What is the difference in their speeds?

 

[Moetasim]

The Solution

To solve this problem, we need to find the time it takes for the two trains to cross each other. We can use the formula speed=distance/time to calculate the time. We know the speed of train 1 is 40 km/hr and the speed of train 2 is 45 km/hr. We also know that the distance between the two trains is the sum of their lengths, which is 350 meters (200m + 150m).

First, we need to convert the speeds from km/hr to m/s by multiplying them by 5/18. This gives us 11.11 m/s for train 1 and 12.50 m/s for train 2.

Next, we can plug in the values into the formula speed=distance/time and solve for time. We get the following equations:

11.11 m/s = 350m / time for train 1
12.50 m/s = 350m / time for train 2

Solving for time, we get 31.5 seconds for train 1 and 28 seconds for train 2. This means that it will take 31.5 seconds for train 1 to cross train 2 and 28 seconds for train 2 to cross train 1.

In conclusion, the two trains will cross each other in 31.5 seconds if they are running on the same direction.