document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199402>Question 1199402</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kory drives from Edmonton to Lloydminster and back. Going to Lloydminster, he drives with an average speed of 96 km/h. For the return trip, he averages a speed of 100 km/h. The total time driving is 5.1 hours. </SPAN>\n" );
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document.write( "Your post seems incomplete. <BR>\n" );
document.write( "Are you wanting to know the average speed throughout the whole roundtrip? <BR>\n" );
document.write( "If so, then read on.\r<BR>\n" );
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document.write( "d = the distance from Edmonton to Lloydminster<BR>\n" );
document.write( "This is some positive real number<BR>\n" );
document.write( "The distance is in kilometers.\r<BR>\n" );
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document.write( "x = time taken to drive from Edmonton to Lloydminster<BR>\n" );
document.write( "y = time taken to drive from Lloydminster to Edmonton<BR>\n" );
document.write( "The time durations are in hours.\r<BR>\n" );
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document.write( "When going to Lloydminster, we have this equation<BR>\n" );
document.write( "distance = rate*time<BR>\n" );
document.write( "d = 96x<BR>\n" );
document.write( "Let's isolate x<BR>\n" );
document.write( "x = d/96\r<BR>\n" );
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document.write( "The return journey has this equation.<BR>\n" );
document.write( "distance = rate*time<BR>\n" );
document.write( "d = 100y<BR>\n" );
document.write( "y = d/100\r<BR>\n" );
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document.write( "The two time durations x and y must add to the total driving time of 5.1 hours.<BR>\n" );
document.write( "x+y = 5.1<BR>\n" );
document.write( "d/96 + d/100 = 5.1<BR>\n" );
document.write( "d/96 + d/100 = 51/10\r<BR>\n" );
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document.write( "A common multiple of 96, 100, and 10 is 9600<BR>\n" );
document.write( "I simply did 96*100 = 9600\r<BR>\n" );
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document.write( "We can multiply both sides of that equation by 9600 to clear out the fractions. <BR>\n" );
document.write( "d/96 + d/100 = 51/10<BR>\n" );
document.write( "9600*(d/96 + d/100) = 9600*(51/10)<BR>\n" );
document.write( "100d + 96d = 48960<BR>\n" );
document.write( "196d = 48960<BR>\n" );
document.write( "d = 48960/196<BR>\n" );
document.write( "d = 249.795918367347<BR>\n" );
document.write( "d = 249.795918<BR>\n" );
document.write( "This is the approximate distance, in kilometers, from Edmonton to Lloydminster.\r<BR>\n" );
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document.write( "The round-trip distance is twice that<BR>\n" );
document.write( "2*249.795918 = 499.591836<BR>\n" );
document.write( "This assumes Kory travels the same route each way.\r<BR>\n" );
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document.write( "To find the average speed throughout the round trip, we will then do the following:<BR>\n" );
document.write( "distance = rate*time<BR>\n" );
document.write( "rate = distance/time<BR>\n" );
document.write( "rate = (499.591836 km)/(5.1 hrs)<BR>\n" );
document.write( "rate = 97.959184<BR>\n" );
document.write( "rate = 97.96 km per hour<BR>\n" );
document.write( "</font> </SPAN>\n" );
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