document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107629>Question 1107629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bicyclist was going from point A to point B with a speed of 12 km/h. On the way back he increased his speed to 18 km/h and covered the distance in 15 minutes less. What is the distance between point A and point B?<BR>\n" );
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document.write( "Let the distance covered by the cyclist in \r<BR>\n" );
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document.write( "kilometres be 'd' and time 't'.\r<BR>\n" );
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document.write( "Distance = Speed × Time\r<BR>\n" );
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document.write( "Distance travelled at a constant speed of 12km/h from A to B is;\r<BR>\n" );
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document.write( "d = 12t\r<BR>\n" );
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document.write( "Distance travelled on cyclist's return journey is;\r<BR>\n" );
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document.write( "d = 18(t-0.25)\r<BR>\n" );
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document.write( "* Note that the cyclist increased his speed to 18km/h and therefore covered the same distance 15 minutes less.\r<BR>\n" );
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document.write( "15 minutes in hours is 15/60 = 1/4 or 0.25\r<BR>\n" );
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document.write( "12t = 18(t-0.25)\r<BR>\n" );
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document.write( "12t= 18t-4.5\r<BR>\n" );
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document.write( "6t = 4.5\r<BR>\n" );
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document.write( "t = 0.75 or 3/4 hours\r<BR>\n" );
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document.write( "Distance between points A and B therefore is;\r<BR>\n" );
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document.write( "12×0.75 = 9 km or 18×(0.75-0.25) = 18×0.5 = 9km </SPAN>\n" );
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