I traveled from the camp site to the station by bike in 3 hours. On foot he could walk this distance in 7 hours

I traveled from the camp site to the station by bike in 3 hours. On foot he could walk this distance in 7 hours. It is known that he walks at a speed 8 km / h less than on a bicycle .. What is the distance from the camp site to the station?

1. Suppose the walking speed is x km per hour.

2. Therefore, the speed on the bike will be equal to (x + 8) km per hour.

3. The distance that a pedestrian will walk in 7 hours is (7 * x) = 7x km per hour.

4. The distance that he will travel on the bike will be equal to 3 * (x + 8) km.

5. Let’s make an equation and calculate the speed of a pedestrian, if it is known that both distances are equal.

7x = 3 * (x + 8);

7x = 3x + 24;

7x – 3x = 24;

4x = 24;

x = 24/4;

x = 6 km per hour.

6. Let’s calculate the distance from the camp site to the station.

7 * 6 = 42 km.

Answer: The distance from the camp site to the station is 42 km.