document.write( "Question 278671: Frank rides his bike 12 miles an hour faster than he walks. He can bike from home to work in the same amount of time it takes him to walk from home to the park. If the distance from Frank's home to work is 9 miles, and the distance from his home to the park is 3 miles, what is Franks walking speed? \n" ); document.write( "
Algebra.Com's Answer #202741 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Frank rides his bike 12 miles an hour faster than he walks. \n" ); document.write( " He can bike from home to work in the same amount of time it takes him to walk from home to the park. \n" ); document.write( " If the distance from Frank's home to work is 9 miles, and the distance from his home to the park is 3 miles, what is Franks walking speed? \n" ); document.write( ": \n" ); document.write( "Let w = walking speed \n" ); document.write( "then \n" ); document.write( "(w+12) = biking speed \n" ); document.write( ": \n" ); document.write( "Write a time equation; time = dist/speed \n" ); document.write( ": \n" ); document.write( "time to work = time to park \n" ); document.write( " \n" ); document.write( "cross multiply \n" ); document.write( "9w = 3(w+12) \n" ); document.write( ": \n" ); document.write( "9w = 3w + 36 \n" ); document.write( ": \n" ); document.write( "9w - 3w = 36 \n" ); document.write( "\" \n" ); document.write( "6w = 36 \n" ); document.write( "w = \n" ); document.write( "w = 6 mph is his walking speed \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the times, should be equal \n" ); document.write( "9/18 = .5 hr \n" ); document.write( "3/6 = .5 hrs also \n" ); document.write( " |