Question

A car and a motorcycle left a gas station at the same time. They each travelled
in the same direction for one and one-quarter hours. At that time, the car had
travelled 20 km farther than the motorcycle. If the average speed of the car was
80 km/h, determine the average speed of the motorcycle.

Answer 1

Using proportions, it is found that the average speed of the motorcycle is of 64 km/h.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, in one and one-quarter hours, that is, $\frac{1} + \frac{1}{4} = 1.25$ hours, the car traveled 20 km farther, hence the number of km/h by which the car is faster is given by:

f = 20/1.25 = 16 km/h.

The car's velocity was of 80 km/h, hence the average speed of the motorcycle is given by:

m = 80 km/h - 16 km/h = 64 km/h.

More can be learned about proportions at https://brainly.com/question/24372153