The cyclist covered 12 km, and the scooter traveled 28 km. The cyclist’s speed is 20 km / h lower than that of a scooter.

The cyclist covered 12 km, and the scooter traveled 28 km. The cyclist’s speed is 20 km / h lower than that of a scooter. Calculate the speed of the scooter.

If the cyclist and the scooter traveled for the same amount of time, then the speed of the scooter can be expressed as x, and the speed of the cyclist as x-20
12 / (x-20) = 28 / x
12 / (x-20) – 28 / x = 0
12x / x (x-20) – 28 (x-20) / x (x-20) = 0
12x-28x + 560 / x (x-20) = 0
ODZ: x (x-20) ≠ 0
x ≠ 0, x ≠ 20
12x-28x + 560 = 0
16x = 560
x = 35
Answer: scooter speed is 35