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)\"\" \"About 
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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?
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\n" ); document.write( "Let d = distance on the other roads
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\n" ); document.write( "Change 45 min to .75 hrs
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\n" ); document.write( "Write a time equation: time = dist/speed
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\n" ); document.write( "express time + road time = total time
\n" ); document.write( "\"115%2F92\" + .75 = \"%28%28d%2B115%29%29%2F80\"
\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
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\n" ); document.write( "Multiply equation by 1840, results:
\n" ); document.write( "20(115) + .75(1840) = 23(d+115)
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\n" ); document.write( "2300 + 1380 = 23d + 2645
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\n" ); document.write( "3680 - 2645 = 23d
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\n" ); document.write( "1035 = 23d
\n" ); document.write( "d = \"1035%2F23\"
\n" ); document.write( "d = 45 miles on other roads
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\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
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\n" ); document.write( "160/80 = 2.00 hrs
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