Alex returns a bike to a friends house from his own house in 1/2 hour. He walks back over the same route in 1.5 hours. If the average speed on the bike is 8 mph faster than his walking speed, how far does alex live from his friend

A hour and a half

Step-by-step explanation:

Let x represent his average walking speed.

If the average speed on the bike is 8 mph faster than his walking speed, it means that his biking speed is (x + 8) mph

Distance = speed * time

Alex returns a bike to a friends house from his own house in 1/2 hour. This means that the distance covered is

0.5 (x + 8)

He walks back over the same route in 1.5 hours. This means that the distance covered is

1.5x

Since the distance covered is the same, then

1.5x = 0.5 (x + 8)

1.5x = 0.5x + 4

1.5x - 0.5x = 4

x = 4 mph

Therefore, the distanceof Alex's house from his friend's house is

4 * 1.5 = 6 miles