Two places A and B are 120 km apart from each other on a highway. A car starts from place A and another car from place B at the same time. If they move in the same direction , they meet in 6hours and if they move in opposite directions, they meet in 1 hour 12 minutes. Find the speed of each car.
Let the speed of the car at A be x, and the speed of the car at B be y.
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When they drive towards each other, relative speed required = 120 km/ 1.2 hrs = 100 km/hr
When they drive in the same direction, provided A has to cover more distance, relative speed required = 120 km/6 hrs = 20 km/hr. Hence we get X + Y = 100 and X - Y = 20...solving we get X = 60 Km/hr, Y = 40 Km/hr