document.write( "Question 28958: It took Cindy 2 hours to bike from Abbott to Benson at a constant speed. The return trip took only 1.5 hours because she increased her speed by 6 mph. How far apart are Abott and Benson? How fast did go to get to Benson? How fast did she return? \n" ); document.write( "
Algebra.Com's Answer #15818 by Paul(988)![]() ![]() ![]() You can put this solution on YOUR website! Let the current speed be x \n" ); document.write( "Let the return speed be x+6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.5(x+6)=2x \n" ); document.write( "1.5x+9=2x \n" ); document.write( "0.5x=9 \n" ); document.write( "x=18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "18+6=24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.5(18+6)=2(18) \n" ); document.write( "36=36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, she went at 18mph and returned at 24mph and the total distance between is 36 miles. \n" ); document.write( "Paul. \n" ); document.write( " |