document.write( "Question 392213: 19. A motorist travelled 115 km on an expressway at an average speed of 92 km/h and another 45 minutes on the other roads. If the average speed for his whole journey was 80 km/h, how far did he travel on the other road? \n" ); document.write( "
Algebra.Com's Answer #278542 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 19. A motorist traveled 115 km on an expressway at an average speed of 92 km/h \n" ); document.write( " and another 45 minutes on the other roads. \n" ); document.write( " If the average speed for his whole journey was 80 km/h, how far did he travel on the other road? \n" ); document.write( ": \n" ); document.write( "Let d = distance on the other roads \n" ); document.write( ": \n" ); document.write( "Change 45 min to .75 hrs \n" ); document.write( ": \n" ); document.write( "Write a time equation: time = dist/speed \n" ); document.write( ": \n" ); document.write( "express time + road time = total time \n" ); document.write( " \n" ); document.write( "Find least common multiple \n" ); document.write( "92: 2*2*23 \n" ); document.write( "80: 2*2*2*2*5 \n" ); document.write( "LCM: 2*2*2*2*5*23 = 1840 \n" ); document.write( ": \n" ); document.write( "Multiply equation by 1840, results: \n" ); document.write( "20(115) + .75(1840) = 23(d+115) \n" ); document.write( ": \n" ); document.write( "2300 + 1380 = 23d + 2645 \n" ); document.write( ": \n" ); document.write( "3680 - 2645 = 23d \n" ); document.write( ": \n" ); document.write( "1035 = 23d \n" ); document.write( "d = \n" ); document.write( "d = 45 miles on other roads \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the times (total dist 115 + 45 = 160 mi) \n" ); document.write( "115/92 = 1.25 hrs \n" ); document.write( "other rd= .75 hrs \n" ); document.write( "------------------- \n" ); document.write( "160/80 = 2.00 hrs \n" ); document.write( " \n" ); document.write( " |