document.write( "Question 310696: A jetliner flew from Chicago to Los Angeles at an average speed of 500 miles per hour. Then it continued on over the Pacific Ocean to Hawaii at an average speed of 550 miles per hour. If the entire trip covered 5200 miles and the part over the ocean took twice as long as the part over land, how long did the entire trip take (in hours)? \n" ); document.write( "
Algebra.Com's Answer #222198 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A jetliner flew from Chicago to Los Angeles at an average speed of 500 miles per hour. \n" ); document.write( " Then it continued on over the Pacific Ocean to Hawaii at an average speed of 550 miles per hour. \n" ); document.write( " If the entire trip covered 5200 miles and the part over the ocean took twice \n" ); document.write( " as long as the part over land, how long did the entire trip take (in hours)? \n" ); document.write( ": \n" ); document.write( "Let t = time from Chicago to L.A. \n" ); document.write( "It said,\"the part over the ocean took twice as long as the part over land,\" therefore: \n" ); document.write( "2t = time over the ocean to Hawaii \n" ); document.write( "and \n" ); document.write( "3t = time for the entire trip \n" ); document.write( ": \n" ); document.write( "Write a distance equation; dist = speed * time \n" ); document.write( "500t + 550(2t) = 5200 \n" ); document.write( "500t + 1100t = 5200 \n" ); document.write( "1600t = 5200 \n" ); document.write( "t = \n" ); document.write( "t = 3.25 hrs from Chi to L.A. \n" ); document.write( "then \n" ); document.write( "3(3.25) = 9.75 hrs Chi to Hawaii \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the distances \n" ); document.write( "3.25(500) + 2(3.25)(550) = \n" ); document.write( "1625 + 3575 = 5200; confirms our solution \n" ); document.write( " |