The distance between two stations is 300 km . Two motorcyclists start simultaneously from these stations and move towords each other. The speed of one of them is 7km more than that of the other. If the distance between them after 2 hours of their start is 34km,find the speed of each motorcyclists.
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Faster-cyclist DATA:
rate = x + 7 km/h ; time = 2 hrs ; distance = 2(x+7) km
Slower-cyclist DATA:
rate = x km/h ; time = 2 hrs ; distance = 2x km
Equation:
2(x+7) + 2x + 34 = 300
2x+14 + 2x = 66
4x = 52
x = 13 km/h speed of the slower
x + 7 = 20 km/h speed of the faster
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rate = x + 7 km/h ; time = 2 hrs ; distance = 2(x+7) km
Slower-cyclist DATA:
rate = x km/h ; time = 2 hrs ; distance = 2x km
Equation:
2(x+7) + 2x + 34 = 300
2x+14 + 2x = 66
4x = 52
x = 13 km/h speed of the slower
x + 7 = 20 km/h speed of the faster
Mark as brainiest
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