 Hello and welcome to the session. In this session we discussed the following question which says the distance between two stations is 400 kilometers. Two trains stop simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 2 km per hour. If the distance between the two trains after two hours of this start is 20 kilometers, find the speed of each train. Let's proceed with the solution. We need to find the speed of each train. So we take let the speed of one train be equal to x kilometer per hour. I've given in the question the speed of one of them is greater than that of the other by 2 kilometers per hour. Then we have the speed of the other train is equal to x plus 2 kilometer per hour. Now we find out the distance traveled by the first train in two hours is equal to speed of the first train that is x kilometers into time that is 2 hours. So it would be 2x kilometers. Next we have the distance covered by the second train in two hours would be equal to the speed of the second train which is x plus 2 kilometer per hour into time that is 2 hours. So this would be equal to 2 into x plus 2 kilometers. Now the total distance traveled by the first train the second train is equal to 2x plus 2 into x plus 2 kilometers. And it's given to us that the distance between two stations is 400 kilometers. Now the distance between the two trains is given by the distance between the two stations that is 400 kilometers minus the total distance traveled by the first train and the second train that is 2x plus 2 into x plus. According to the question we have that the distance between the two trains after two hours of this start is 20 kilometers. So here we have according to the question 400 minus 2x plus 2 into x plus 2 is equal to 20. This further gives us 400 minus 2x minus 2x minus 4 is equal to 20. Which further implies that 396 minus 4x is equal to 20. Now we transpose this minus 4x to the right-hand side. So we have 396 is equal to 20 plus 4x. Then in the next step we transpose this 20 to the left-hand side. So we have 396 minus 20 is equal to 4x. This gives us 376 is equal to 4x. That is we have 4x is equal to 376. Now to find the value for x we divide both sides by 4. Now this 4 and this 4 gets cancelled. Now 94 4 times is 376. So we get x is equal to 94 and we have assumed the speed of one train as x kilometers per hour. Thus we say speed of one train is equal to 94 kilometers per hour and the speed of the other train was x plus 2 kilometers per hour. So now speed of the other train is equal to 94 plus 2 that is equal to 96 kilometer per hour. So our final answer is speed of one train is 94 kilometers per hour and speed of second train is 96 kilometer per hour. So this completes this session. Hope you have understood the solution for this question.