A cyclist left point A to point B. After the cyclist traveled 18 km. a motorcyclist left point A

A cyclist left point A to point B. After the cyclist traveled 18 km. a motorcyclist left point A and arrived at B 0.3 hours later than the cyclist. What is the distance between cities if the speed of a cyclist is 10 km / h and a motorcyclist is 40 km / h.

1. Let us denote the distance between cities as the variable x.

2. Then, by the time the motorcyclist left, the cyclist had to travel (x – 18) kilometers.

3. Knowing that the motorcyclist traveled 0.3 hour later than the cyclist, as well as their speed, we will make an equation and find x:

x / 40 – (x – 18) / 10 = 0.3;

x – 4 * (x – 18) = 12;

-3x + 72 = 12;

3x = 60;

x = 20.

Answer: The distance between cities is 20 kilometers.