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_Question_The distance between two cities, A and B, is 70km. Two cars start moving fromA and B respectively. If they move in the same direction, they will meet in 7 hoursand if they move towards each other they will meet in 1 hour. Find the speeds ofboth the cars. |
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Answer» Step-by-step explanation: When they travel in same DIRECTION, suppose they meet when B travels for x m, then A will have travelled 70+x m in the same time Since, Speed = Time Distance
Speed of car at A = 7 x+70
And Speed of car at B = 7 x
And when they travel in the opposite direction, suppose they meet when A travels for y m, then B will have travelled 70−y m in the same time Speed of car at A = 1 y =y And Speed of car at B = 1 70−y =70−y Equating the SPEEDS of the cars in both the cases, Speed of car at A, 7 x+70 =y x+70=7y =>x−7y=−70 --- (1) Speed of car at B, 7 x =70−y =>x+7y=490 --- (2) Adding EQUATIONS 1 and 2, we get 2x=420=>x=210 So, Speed of car at A = 7 x+70 = 7 280 =40km/hr Speed of car at B = 7 x = 7 210 =30km/hr |
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