Question

Wes walks from home to a friend's house to borrow a bicycle, and then rides the bicycle home along the same route. By walking at 4 mph and riding at 8 mph, Wes takes 45 minutes for the whole trip. Find the distance that Wes walked.

Answer 1

Wes walked a distance of 15 miles.

Step-by-step explanation:

To find the distance that Wes walked, we can use the formula:

Distance = Speed × Time.

Let's denote the distance that Wes walked as d and the time it took as t.

When Wes walks, he travels at a speed of 4 mph. Therefore, the distance he walked can be calculated as:

d = 4 mph × (t/2).

When Wes rides the bicycle, he travels at a speed of 8 mph. Therefore, the distance he rode can be calculated as:

d = 8 mph × (t/2).

Since the total time for the trip is 45 minutes (t), we can set up the following equation:

4(t/2) + 8(t/2) = 45.

Simplifying the equation:

2t + 4t = 45.

6t = 45.

t = 7.5 minutes.

Therefore, Wes walked for 7.5 minutes at a speed of 4 mph, which gives us a distance of:

d = 4 mph × (7.5/2) = 30/2 = 15 miles.

Answer 2

34.15 minutes is how long he traveled on foot.