From point A to point B, the distance between which a motorist and a cyclist simultaneously left 30 km.

From point A to point B, the distance between which a motorist and a cyclist simultaneously left 30 km. It is known that a motorist drives 100 km more per hour than a cyclist. Determine the speed of the cyclist if it is known that he arrived at point B 1 hour 15 minutes later than the motorist.

Cyclist X-speed
100 + x- vehicle speed, then
30/100 + x + 1.25 = 30 / x
We solve the quadratic equation and find that x = 20 km / h