Answer:
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
