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 .
20