# The distance between two stations is 300 km. Two motorcyclists start simultaneously from these stations and move towards each other. The speed of one of them is 7 km/h more than that of the other. If the distance between them after 2 hours of their start is 34 km, find the speed of each motorcyclist. Check your solution.

Let the speed of motorcyclists be x km/h and y km/h

According to the question

x + 7 = y (A)

And 2y + 2x + 34 = 300

Putting (A) we get

2(x + 7) + 2x + 34 = 300

2x + 14 + 2x = 300 - 34

4x = 266 - 14  2(70) + 2(63) + 34 = 140 + 126 + 34 = 300 = Distance between them

Hence, verified .

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