document.write( "Question 796307: Marina can bicycle 19.5 miles in the same time it takes her to run 6 miles. She bikes 9 miles per hour faster than she runs. At what speed does Marina run? \n" ); document.write( "
Algebra.Com's Answer #481328 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Running Speed = x \n" ); document.write( "Cycling Speed = x + 9 \n" ); document.write( "19.5/x + 9 = 6/x \n" ); document.write( "Cross multiply \n" ); document.write( "19.5x = 6x + 54 \n" ); document.write( "Collect like terms: \n" ); document.write( "19.5x - 6x = 54 \n" ); document.write( "13.5x = 54 \n" ); document.write( "x = 4 \n" ); document.write( "Running speed = 4 mph \n" ); document.write( "Cycling speed = 13 mph \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |