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Places A and B are 100 km apart on a highway. One car starts from A and anotherfrom B at the sthey meet in 5 hours. If they travel towards each other, they meet in 1 hour. Whatare the speeds of the two cars?ame time. If the cars travel in the same direction at different speeds, |
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Answer» Let the speeds of the cars be x km/hr and y km/hrCase 1:When the cars are going in the same directionRelative speed = x - yDistance = 100 kmTime = 100 / (x - y) = 5 hrsx - y = 100 / 5=20x – y = 20 ------------- (1)Case 2:When the cars are going in the opposite directionRelative speed = x + yTime =100 / (x + y) = 1 hrsx + y = 100 ------------- (2)Solving the equations (1) and (2),x = 60y = 40Hence the speeds of the cars are 60 km/hr and 40 km/hr. |
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