document.write( "Question 781803: Two cars enter the Florida Turnpike at commercial Boulevard at 8 AM, each heading for Wildwood. One car's average speed is 10 mph more than the other's. The faster car arrives at Wildwood at 11 AM, 1/2 hour before the other car. What is the average speed of each car? How far did each travel? \n" ); document.write( "
| Algebra.Com's Answer #476106 by stanbon(75887)      You can put this solution on YOUR website! Two cars enter the Florida Turnpike at commercial Boulevard at 8 AM, each heading for Wildwood. One car's average speed is 10 mph more than the other's. The faster car arrives at Wildwood at 11 AM, 1/2 hour before the other car. What is the average speed of each car? How far did each travel? \n" ); document.write( "----------------------- \n" ); document.write( "Faster Car DATA: \n" ); document.write( "rate = x + 10 mph ; time = 3 hrs ; distance = 3x+30 miles \n" ); document.write( "----- \n" ); document.write( "Slower Car DATA: \n" ); document.write( "rate = x mph ; time = 3.5 hrs ; distance = 3.5x miles \n" ); document.write( "-------------------------- \n" ); document.write( "Equation: \n" ); document.write( "distance = distance \n" ); document.write( "3.5x = 3x+30 \n" ); document.write( "(1/2)x = 30 \n" ); document.write( "x = 60 mph (slower car rate) \n" ); document.write( "x+10 = 70 mph (faster car rate) \n" ); document.write( "----- \n" ); document.write( "Faster car distance = 3x+30 = 180 + 30 = 210 miles \n" ); document.write( "Slower car distance: = 3.5*60 = 210 miles \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " |