SOLUTION: a pickup can travel 300 miles in the same time that a car going 10 miles per hour faster can travel 350 miles. How fast is the car traveling?

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Question 140729: a pickup can travel 300 miles in the same time that a car going 10 miles per hour faster can travel 350 miles. How fast is the car traveling?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
distance equals rate times time, or d=rt, so t=d%2Fr

rate of the car: r (I chose the car's rate to be r rather than the pickup's rate because the question asks for the car's rate)
distance for the car: 350

rate of the pickup: r - 10 (the pickup is going 10 mph slower)
distance for the pickup: 300




time for the pickup: t=300%2F%28r-10%29
time for the car: t=350%2Fr

But the time for the pickup and car are the same, so:

350%2Fr=300%2F%28r-10%29

Cross multiply, collect like terms, and solve for r