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)\"\" \"About 
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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( ":)
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