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On a2. Points A and B are 70 km apart from each othershighway. A.com starts from n and anotherfrom B at the Sange time. they toravel in samedirection they meet in 7 hours, but if theytəravel towards each other, they meet in 1 hour.Find the speed of the two 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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