document.write( "Question 766882: Carol drove for 3 hours on a two-lane state road. She then increased her speed by 25 miles per hour on the freeway and drove for 6 more hours. If the total trip was 510 miles, then what was her speed on the freeway? \n" ); document.write( "
Algebra.Com's Answer #467315 by ramkikk66(644)![]() ![]() ![]() You can put this solution on YOUR website! Carol drove for 3 hours on a two-lane state road. She then increased her speed by 25 miles per hour on the freeway and drove for 6 more hours. If the total trip was 510 miles, then what was her speed on the freeway?\r \n" ); document.write( "\n" ); document.write( "Ans: \n" ); document.write( "Let her initial speed be x mph \n" ); document.write( "Then, distance covered in the 2-lane road = 3*x (since she drove for 3 hours) \n" ); document.write( "Speed on freeway = x+25 \n" ); document.write( "Distance covered in freeway, in 6 hours = (x+25)*6 = 6*x + 150\r \n" ); document.write( "\n" ); document.write( "Total distance = 3*x + 6*x + 150 = 510 (given)\r \n" ); document.write( "\n" ); document.write( "Simplifying\r \n" ); document.write( "\n" ); document.write( "9*x = 510 - 150 = 360 \n" ); document.write( "x = 40\r \n" ); document.write( "\n" ); document.write( "Speed in 2-lane road = 40 mph \n" ); document.write( "Speed on freeway = 40 + 25 = 65 mph\r \n" ); document.write( "\n" ); document.write( ":) \n" ); document.write( " |