Two people departed from point A and B. One on foot, the other on a bike. At the same time, a car left B for A

Two people departed from point A and B. One on foot, the other on a bike. At the same time, a car left B for A and met a cyclist in 4 hours, and a pedestrian in 5 hours. Find the distance from A to B knowing that the speed of a pedestrian is 6 km / h, and a cyclist is 15 km / h

1. We calculate how many kilometers the cyclist traveled before meeting the car:

15 x 4 = 60 kilometers.

2. The pedestrian walked before the meeting with the car:

6 x 5 = 30 kilometers.

3. We take the distance between the settlements as x.

4. The car traveled 4 hours before the meeting point with a cyclist (x – 60) kilometers, with a pedestrian – 5 hours (x – 30) kilometers.

5. Let’s compose the equation:

(x – 60) / 4 = (x – 30) / 5;

5x – 300 = 4x – 120;

x = 180 kilometers.

Answer: 180 kilometers between settlements.