SOLUTION: One car travels 378 miles in same amount of time it takes a second car traveling 7 miles per hour slower than the first to go 336 miles. What are the speeds of the cars?

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Question 1005967: One car travels 378 miles in same amount of time it takes a second car traveling 7 miles per hour slower than the first to go 336 miles. What are the speeds of the cars?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the slower car's rate, r.
The faster one is then r+7.
Since the times are equal, ad time = distance / rate, we have
378/(r+7) = 336/r
Cross multiply and get
378r = 336r + 2352
42r = 2352
r = 56 mph
r+7 = 63 mph