Q20 of 90 Page 111

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




Checking the answer:


2(70) + 2(63) + 34 = 140 + 126 + 34 = 300 = Distance between them


Hence, verified .


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