Question

What is Ben's total trip distance if he walks 4 kilometers per hour slower than he bikes, and the entire trip takes 1.5 hours?

A) 7 kilometers
B) 9 kilometers
C) 10 kilometers
D) 12 kilometers

Answer 1

To find Ben's total trip distance, we can set up and solve equations based on the given information.

Step-by-step explanation:

To find Ben's total trip distance, we need to set up an equation based on the given information. Let's assume Ben's biking speed is x km/h. Since he walks 4 km/h slower than he bikes, his walking speed will be (x-4) km/h. The total time for the trip is 1.5 hours. We can set up the equation:

Total biking time + Total walking time = 1.5 hours.

We know that distance = speed * time. So, the equation becomes:

x*(t1) + (x-4)*(t2) = 1.5,

where t1 is the biking time and t2 is the walking time. We also know that the distance biked and walked are the same, so we can set up another equation:

x*t1 = (x-4)*t2.

We can solve this system of equations to find x and then calculate the total trip distance.