The cyclist climbed the hill at a speed of 12 km / h, and he descended the hill the same way at a speed of 20 km / h

The cyclist climbed the hill at a speed of 12 km / h, and he descended the hill the same way at a speed of 20 km / h, spending 16 minutes less than climbing. What is the length of the road?

Let’s designate the time of descent from the hill – x, then the time taken to climb the hill was more by 16 minutes, respectively, will be – x + 16.
The equation will look like this:
20 * x = 12 * (x + 16)
Let’s open the brackets and solve our equation.
20x = 12x + 192
20x – 12x = 192
8x = 192
x = 192/8
x = 24
The time it took for the cyclist to descend the hill will be 24 minutes.
For further calculations, let’s convert to hours.
24/60 = 0.4 hours.
Let’s find what the distance traveled by the cyclist in one direction is equal to.
0.4 * 20 = 8 km.
I drove the same amount in the opposite direction, which means another 8 km.
The total distance will be:
8 + 8 = 16 km.
Answer: The cyclist only covered 16 km.