speeds

Places a and b are 100 km apart on a highway. one car starts from a and another from b at the same time. if the cars travel in the same direction at different speeds, they meet in 5 hours. if they travel towards each other, they meet in 1 hour. what are the speeds of the two cars?

Solution Sol: Let the speeds of the cars be x km/hr and y km/hr Case 1: When the cars are going in the same direction Relative speed = x - y Distance = 100 km Time = 100 / (x - y) = 5 hrs x - y = 100 / 5=20 x – y = 20 ------------- (1) Case 2: When the cars are going in the opposite direction Relative speed = x + y Time =100 / (x + y) = 1 hrs

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