document.write( "Question 635388: A man rides up a ski lift at the rate of 5 miles an hour and skis back down the hill at the rate of 50 miles an hour. If the complete trip requires 22 minutes, How far is it from the bottom to the top of the hill? \n" ); document.write( "
Algebra.Com's Answer #400420 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A man rides up a ski lift at the rate of 5 miles an hour and skis back \n" ); document.write( "the hill at the rate of 50 miles an hour. \n" ); document.write( " If the complete trip requires 22 minutes \n" ); document.write( " How far is it from the bottom to the top of the hill? \n" ); document.write( ": \n" ); document.write( "Change 22 minutes to hrs, \n" ); document.write( ": \n" ); document.write( "Let d = distance up the hill (assume down the hill is the same) \n" ); document.write( ": \n" ); document.write( "Write a time equation: time = dist/speed \n" ); document.write( "Time up + time down = 22 min \n" ); document.write( " \n" ); document.write( "Mult by the LCM; 300 \n" ); document.write( "300* \n" ); document.write( "cancel the denominators \n" ); document.write( "60d + 6d = 5(22) \n" ); document.write( "66d = 110 \n" ); document.write( "d = \n" ); document.write( "d = 1 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this find the time each way \n" ); document.write( "1.67/5 = .3340 hrs \n" ); document.write( "1.67/50= .0334 hrs \n" ); document.write( "-------------------- \n" ); document.write( "total time: .3674 hrs which is .3674(60) = 22.0 min \n" ); document.write( " |