The bus traveled the distance from city A to city B in 5 hours, and the car in 4 hours.

The bus traveled the distance from city A to city B in 5 hours, and the car in 4 hours. Determine the distance between cities if the speed of the bus is 20 km / h less than the speed of the car.

Let’s solve this problem through the equation.
1) Let the speed of the bus be x kilometers per hour, then the speed of the car is (x + 20) kilometers per hour. We know that the bus traveled the distance from city A to city B in 5 hours, and the car in 4 hours. Let’s compose the equation:
5 * x = 4 * (x + 20);
5 * x = 4 * x + 4 * 20;
5 * x = 4 * x + 80;
5 * x – 4 * x = 80;
x * (5 – 4) = 80;
x * 1 = 80;
x = 80: 1;
x = 80 kilometers per hour – bus speed;
2) 80 * 5 = 400 kilometers – the distance from city A to city B.
Answer: 400 kilometers.