document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930283>Question 930283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An express train takes 1.5 hour less than a passenger train for distance of 180 km. the speed of passenger train is 20 km/h less than express train. find speed of both the trains. </SPAN>\n" );
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document.write( "s (mi/hr) the speed  of the slower train<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180mi%2Fs++-+180%2F%28s%2B20%29+=+1.5hr ALIGN=MIDDLE  ALT=\"180mi%2Fs++-+180%2F%28s%2B20%29+=+1.5hr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "180(s+20) - 180s = 1.5s(s+20)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%29s%5E2+%2B+30s+-+3600+=+0 ALIGN=MIDDLE  ALT=\"%283%2F2%29s%5E2+%2B+30s+-+3600+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > |Multiplying thru by 2/3 so as all denominators = 1<BR>\n" );
document.write( "s^2 + 20s - 2400 = 0 (tossing out negative solution for unit measure)<BR>\n" );
document.write( "(s+60)(s-40)= 0<BR>\n" );
document.write( "s = 40mph, the speed  of the slower train.  Faster train 60mph<BR>\n" );
document.write( "And...checking<BR>\n" );
document.write( "180mi/40mph - 180mi/60mph = 4.5hr - 3hr = 1.5hr </SPAN>\n" );
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