document.write( "Question 270809: Alana and her father Tim begin skiing the same cross-country ski trail in Elmwood park in sioux Falls, South Dakota, at the same time. If Alana, who averages 9 miles per hour, finishes the trail 0.25 hours sooner than her father, who averages 6 miles per hour, determine the length of the trail? \n" ); document.write( "
Algebra.Com's Answer #198340 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! If Alana, who averages 9 miles per hour, finishes the trail 0.25 hours sooner than her father, who averages 6 miles per hour, determine the length of the trail? \n" ); document.write( ": \n" ); document.write( "Let t = time it takes A to ski the trail \n" ); document.write( "Let (t+.25) = time for daddy to do it \n" ); document.write( ": \n" ); document.write( "A's dist = D's dist (dist = speed * time) \n" ); document.write( "9t = 6(t+.25) \n" ); document.write( "9t = 6t + 1.5 \n" ); document.write( "9t - 6t = 1.5 \n" ); document.write( "3t = .5 hrs for A to do it \n" ); document.write( ": \n" ); document.write( "Find the dist (d's time .5 + .25 = .75) \n" ); document.write( ".5*9 = 4.5 mi is the length of the trail \n" ); document.write( "Find the dist using daddy's time \n" ); document.write( ".75(6) = 4.5 mi also \n" ); document.write( " |