Question

Places A and B are 160 km apart on a highway. one car starts from A and another from B at the same time. If they travel in the same directiin, they meet in 8hrs. But, if they travel towqrds earch other, they meet in 2 hours. Find the speed of each car.

Answer 1

Let the speeds of the cars be x and y. It took 2 hours to cover the distance of 160 kms when the cars travelled in the opposite directions (or towards each other). So in one hour both cars might have covered 80 kms totally. So the relative speed is 80 km/hr.i.e x+y=80. Then it took 8 hours to cover 160 kms. So in hr relative speed becomes 20 kms. i.e x-y=20. We got two formula and on deriving both, we get x is 50 and y is 30. that is the speeds of the cars.