Let's break down the time Vanessa spends warming up and running:
1. Warming up: 0.5 hours
2. Running: 0.25x hours
According to the information provided, she has a total of 3 hours available. So, we can set up the equation:
0.5 hours (warming up) + 0.25x hours (running) = 3 hours
Now, let's solve for x (the number of miles she can run):
0.5 + 0.25x = 3
Subtract 0.5 from both sides:
0.25x = 3 - 0.5
0.25x = 2.5
Now, divide both sides by 0.25:
x = 2.5 / 0.25
x = 10
So, Vanessa can run 10 miles within the given time frame.
Hope it helps !
