The cyclist traveled for 4 hours from the village to the station. If he reduced his speed by 4 km / h

The cyclist traveled for 4 hours from the village to the station. If he reduced his speed by 4 km / h, he would have covered this distance in 6 hours. How fast was the cyclist traveling?

Let us denote by the variable x the speed at which the cyclist was riding.
Therefore, according to the condition of the problem, we can express the reduced speed of the cyclist through
(x – 4).
Knowing that in the first case he covered the distance from the village to the station in 4 hours, and in the other case he would theoretically need 6 hours, we will compose an equation and determine the speed of the cyclist:
4x = 6 * (x – 4);
4x = 6x – 24;
-2x = -24;
x = 12.
Answer: The speed at which the cyclist was moving is 12 km / h.