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James and Olivia began driving toward each other at the same time from cities 375 miles apart James traveled 5 miles faster than Olivia if they made after three hours how fast are they driving

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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.

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