SOLUTION: the distance between two stations is 300 km. 2 motorists starts simultaneously from these stations and move towards each other the speed of one of them was 7km more than that of th

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Question 769578: the distance between two stations is 300 km. 2 motorists starts simultaneously from these stations and move towards each other the speed of one of them was 7km more than that of the other.If the distance between them after 2hrs of their start is 34km. Find the speed of them.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the distance between two stations is 300 km. 2 motorists starts simultaneously from these stations and move towards each other the speed of one of them was 7km more than that of the other.If the distance between them after 2hrs of their start is 34km. Find the speed of them.
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slower car DATA:
rate = x kmh ; time = 2 hrs ; distance = rt = 2x km
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faster car DATA:
rate = x+7 kmh ; time = 2 hrs ; distance = rt = 2x+14 km
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Equation:
faster + slower = 300-34 = 266 km
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2x + 14 + 2x = 266
4x = 252
x = 62 kmh (slower car speed)
x+7 = 69 kmh (faster car speed)
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Cheers,
Stan H.
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