Final answer:
Olivia is driving at 60 miles per hour and James is driving at 65 miles per hour.
Step-by-step explanation:
Let's assume Olivia's speed is x miles per hour. Since James travels 5 miles per hour faster than Olivia, his speed is (x+5) miles per hour.
Together, they travel a total distance of 375 miles in 3 hours. We can set up the following equation to find their speeds:
x(3) + (x+5)(3) = 375
Simplifying the equation, we get:
3x + 3x + 15 = 375
6x = 360
x = 60
Therefore, Olivia's speed is 60 miles per hour and James' speed is 65 miles per hour.