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Two cars leave a city on the same road, one driving 9 mph faster than the other.
\n" ); document.write( " After 4 hours, the car traveling faster stops for lunch.
\n" ); document.write( " After 4 hours and 30 minutes, the car traveling slower has not passed the faster's cars position, but stops for lunch too.
\n" ); document.write( " Assuming that the person in the faster car is still eating lunch, the cars are now 18 miles apart.
\n" ); document.write( " How fast is each car driving?
\n" ); document.write( ":
\n" ); document.write( "let s = the speed of the slower car
\n" ); document.write( "then
\n" ); document.write( "(s+9) = speed of the faster
\n" ); document.write( ":
\n" ); document.write( "Find the distance each has traveled when they stopped for lunch
\n" ); document.write( "dist = time * speed
\n" ); document.write( "4(s+9) = the faster car distance
\n" ); document.write( "4.5s = the slower car distance
\n" ); document.write( ":
\n" ); document.write( "4(s+9) = 4.5s + 18
\n" ); document.write( "4s + 36 = 4.5s + 18
\n" ); document.write( "36 - 18 = 4.5s - 4s
\n" ); document.write( "18 = .5s
\n" ); document.write( "s = 36 mph is the speed of the slower car
\n" ); document.write( "and
\n" ); document.write( "36 + 9 = 45 mph is the faster car
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "confirm this by finding the actual distance each car drove
\n" ); document.write( "4 * 45 = 180 mi the fast car
\n" ); document.write( "4.5*36 = 162 mi the slow car
\n" ); document.write( "-------------------------------
\n" ); document.write( "differs: 18 mi they are apart \n" ); document.write( "