 Hi and welcome to the session. Let's work out the following question. The question says two places A and B are 120 km apart from each other on a highway. A car stops from point A and another from B at the same time. If they move in the same direction, they meet in 6 hours and if they move in opposite directions, they meet in 1 hour and 12 minutes. Why the speed of the cars? Now, let's start off with the solution to this question. Let speed of car starting from the point A be x km per hour and speed of the car starting from B be equal to y km per hour. Now, the question says that they move in the same direction then they meet in 6 hours. So, we can say that 6 x minus 6 y is equal to 120 because distance is equal to speed into time. We subtract the distances because when they move in same direction, then the distances get subtracted. This implies x is equal to y plus 20. This we call equation 1. Now, it is also given that if they move in opposite directions, they meet in 1 hour and 12 minutes. So, first of all, we see that 1 hour 12 minutes is equal to 6 by 5 hours. Now, when they move in opposite directions, so it will get added and we will have 6 by 5 x plus 6 by 5 y is equal to 120. This implies x plus y is equal to 120 into 5 by 6. This implies x plus y is equal to 100. We already know that x is equal to y plus 20. So, this implies y plus 20 plus y is equal to 100. This implies 2 y is equal to 80 and this implies that y is equal to 40 km per hour. Now, using this value of y in first equation we get x is equal to 40 plus 20 that is 60 km per hour. So, our answer to this question is that the speed of the first car or we can simply say that speed of cars are 60 km per hour and 40 km per hour. So, this is our answer to this question. I hope that you understood the solution and enjoyed the session. Have a good day.