The car and motorcycle drove out simultaneously in the same direction. The car was driving at a speed of 75 km / h

The car and motorcycle drove out simultaneously in the same direction. The car was driving at a speed of 75 km / h, the motorcycle was 67 km / h. How far did the motorcycle travel if the car was 32 km ahead of it?

To solve this problem, we introduce the conditional variable “X”, through which we denote the time during which the car and motorcycle moved.

Then, applying the formula for the speed and based on the data of the problem, we will compose the following equation: 75 x X + 67 x X = 32.

Solving this equation, we get 8X = 32 or X = 32/8 = 4 hours.

Therefore, the motorcycle covered a distance equal to 67 x 4 = 268 kilometers.

Answer: The motorcycle traveled 268 kilometers.