SOLUTION: For winter break, Lindsey and sloan decided to make the 510 mile trip from Charlotte North Carolina to Philadelphia Pennsylvania together. Sloan drove a speed of 63 mph for 4 1/2

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Question 1113696: For winter break, Lindsey and sloan decided to make the 510 mile trip from Charlotte North Carolina to Philadelphia Pennsylvania together. Sloan drove a speed of 63 mph for 4 1/2 hours.Lindsay drove for 3 1/2 hours. What was Lindsay speed. Please round to the nearest miles per hour
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Answer by ikleyn(52921) About Me  (Show Source):
Answer by MathTherapy(10557) About Me  (Show Source):
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For winter break, Lindsey and sloan decided to make the 510 mile trip from Charlotte North Carolina to Philadelphia Pennsylvania together. Sloan drove a speed of 63 mph for 4 1/2 hours.Lindsay drove for 3 1/2 hours. What was Lindsay speed. Please round to the nearest miles per hour
Distance Sloan drove: 4.5(63) = 283.5 miles

Distance Lindsay drove: 3.5S, with S being Lindsay's speed

With total distance being 510 miles, we get: 283.5 + 3.5S = 510

3.5S = 510 - 283.5

3.5S = 226.5

S, or Lindsay's speed = 

Although not asked for, this demonstrates that Sloan drove 283.5 miles, and Lindsey/Lindsay: 226.5 miles, a total of 510 miles.