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
<pre>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 = {{{highlight_green(matrix(1,7, 226.5/3.5, "=", "64.71428571,", or, approximately, 65, mph))}}}
Although not asked for, this demonstrates that Sloan drove 283.5 miles, and Lindsey/Lindsay: 226.5 miles, a total of 510 miles.