Simple distance traveled problem

[Elbobo]

Homework Statement

A boy walks at an average speed of 3 miles per hour to his school, and then runs back at an average speed of 5 miles per hour along the same route. The total travel time is 1 hour. What was the total distance traveled?

The Attempt at a Solution

OK it's a practice question I saw in my SAT prep book, and I feel soooo incredibly stupid to not be a ble to solve this. The answer is 3.75 miles, btw.

d1 = d2
dt = d1 + d2
t1 + t2 = 1 hr
d1 = v₁t₁
d2 = v₂(1-t₁)

d_t = v₁t₁ + v₂-v₂t₁
d_t = 3t₁ + 5 - 5t₁

Then I get stuck here.

Pretty sure I am over complicating the problem, so could somene help me?

 

[Dick]

Let the distance to school be d. Then d/v1+d/v2=1hr. Solve for d. The total distance traveled is then 2*d.

 

[Elbobo]

Ohh, ok I didn't think about redefining t1.

Thanks.