document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118668>Question 1118668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Town A and B are 220km apart. A lorry driver and a taxi driver started off at the same time from town A. The taxi driver reached B  1 and 2/3 hours ahead of the lorry driver who still had 100km to go.\r<BR>\n" );
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document.write( "what was the speed of the lorry driver\r<BR>\n" );
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document.write( "what was the speed of the taxi driver. \r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
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document.write( "Tutor @josgarithmetic misinterpreted the given information and so solved the wrong problem.  The 1 2/3 hours is the DIFFERENCE between the times it took the taxi and the lorry to make the whole trip; it is not the amount of time the taxi took to make the trip.<br><BR>\n" );
document.write( "Let x be the speed of the taxi and y the speed of the lorry.  Then<br><BR>\n" );
document.write( "The difference between the time required by the lorry to make the full trip and the time required by the taxi was 1 2/3 hours, or 5/3 hours:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=220%2Fy+=+220%2Fx%2B5%2F3 ALIGN=MIDDLE  ALT=\"220%2Fy+=+220%2Fx%2B5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The time required for the taxi to go the full 220km is equal to the time required for the lorry to go 220-100 = 120km:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=220%2Fx+=+120%2Fy ALIGN=MIDDLE  ALT=\"220%2Fx+=+120%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Substitute (2) into (1):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=220%2Fy+=+120%2Fy%2B5%2F3 ALIGN=MIDDLE  ALT=\"220%2Fy+=+120%2Fy%2B5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2Fy+=+5%2F3 ALIGN=MIDDLE  ALT=\"100%2Fy+=+5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+100%283%2F5%29+=+60 ALIGN=MIDDLE  ALT=\"y+=+100%283%2F5%29+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The speed of the lorry was 60km/hr.<br><BR>\n" );
document.write( "Substitute y=60 into (2):<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=220%2Fx+=+120%2F60 ALIGN=MIDDLE  ALT=\"220%2Fx+=+120%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=220%2Fx+=+2 ALIGN=MIDDLE  ALT=\"220%2Fx+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+110 ALIGN=MIDDLE  ALT=\"x+=+110\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The speed of the taxi was 110km/hr. </SPAN>\n" );
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