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
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52925)   (Show Source): You can put this solution on YOUR website!

Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
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. 

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