Question

Kylie went on a 300 mile trip to a soccer game. On the way back, due to road construction she had to drive 10 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game

Answer 1

Kylie drove at a speed of 60 miles per hour going to the soccer game.

Explanation:

Let us assume that Kylie drove at speed x miles per hour going to the soccer game. On the way back, she had to drive at a speed of (x-10) miles per hour. We are given that the trip took 1 hour longer on the way back, which means that the time taken on the way back was greater than the time taken going to the soccer game. We can form an equation using the distance formula:

300/x = 300/(x-10) + 1

Simplifying this equation by cross multiplication, we get:

300(x-10) = 300x + x(x-10)

Simplifying further, we get:

300x - 3000 = 300x - 10x

Solving for x, we get:

x = 60

Therefore, Kylie drove at a speed of 60 miles per hour going to the soccer game.