document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=535570>Question 535570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man travels 370 KM partly by train and partly  by car. If he covers 250 KM by train and the rest by car. it takes him 4 Hours. But if he travels 130 KM by train and rest by car. he taken 18 minut longer. Find the speed of the train and that of the car. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352314 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=352314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man travels 370 KM partly by train and partly  by car. If he covers 250 KM by train and the rest by car. it takes him 4 Hours. But if he travels 130 KM by train and rest by car. he taken 18 minut longer. Find the speed of the train and that of the car.\r<BR>\n" );
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document.write( "Let the speed of train and car be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5BT%5D ALIGN=MIDDLE  ALT=\"S%5BT%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5BC%5D ALIGN=MIDDLE  ALT=\"S%5BC%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, respectively<BR>\n" );
document.write( "Since he covered 250 km out of 370 km by train, then he travels 120 (370 – 250) km by car. Therefore, we have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250%2FS%5BT%5D+%2B+120%2FS%5BC%5D+=+4 ALIGN=MIDDLE  ALT=\"250%2FS%5BT%5D+%2B+120%2FS%5BC%5D+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since the total journey took 4 hours\r<BR>\n" );
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document.write( "If he had covered 130 km out of 370 km by train, then he would’ve traveled 240 (370 – 130) km by car. Therefore, we have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=130%2FS%5BT%5D+%2B+240%2FS%5BC%5D+=+4.3 ALIGN=MIDDLE  ALT=\"130%2FS%5BT%5D+%2B+240%2FS%5BC%5D+=+4.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since the total journey took 18 mins more\r<BR>\n" );
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document.write( "We now have: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250%2FS%5BT%5D+%2B+120%2FS%5BC%5D+=+4 ALIGN=MIDDLE  ALT=\"250%2FS%5BT%5D+%2B+120%2FS%5BC%5D+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------- eq (i)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=130%2FS%5BT%5D+%2B+240%2FS%5BC%5D+=+4.3 ALIGN=MIDDLE  ALT=\"130%2FS%5BT%5D+%2B+240%2FS%5BC%5D+=+4.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------- eq (ii)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250S%5BC%5D+%2B+120S%5BT%5D+=+4S%5BT%5D%2AS%5BC%5D ALIGN=MIDDLE  ALT=\"250S%5BC%5D+%2B+120S%5BT%5D+=+4S%5BT%5D%2AS%5BC%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- Multiplying eq (i) by LCD, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5BT%5D+%2A+S%5BC%5D ALIGN=MIDDLE  ALT=\"S%5BT%5D+%2A+S%5BC%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ eq (iii)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=130S%5BC%5D+%2B+240S%5BT%5D+=+4.3S%5BT%5D%2AS%5BC%5D ALIGN=MIDDLE  ALT=\"130S%5BC%5D+%2B+240S%5BT%5D+=+4.3S%5BT%5D%2AS%5BC%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---- Multiplying eq (ii) by LCD, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5BT%5D+%2A+S%5BC%5D ALIGN=MIDDLE  ALT=\"S%5BT%5D+%2A+S%5BC%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- eq (iv)  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+500S%5BC%5D+-+240S%5BT%5D+=+-+8S%5BT%5D%2AS%5BC%5D ALIGN=MIDDLE  ALT=\"-+500S%5BC%5D+-+240S%5BT%5D+=+-+8S%5BT%5D%2AS%5BC%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Multiplying eq (iii) by – 2 ------- eq (v) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+370S%5BC%5D+=+-+3.7S%5BT%5D%2AS%5BC%5D ALIGN=MIDDLE  ALT=\"-+370S%5BC%5D+=+-+3.7S%5BT%5D%2AS%5BC%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Adding eqs (iv) & (v)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+370+=+-+3.7S%5BT%5D+ ALIGN=MIDDLE  ALT=\"-+370+=+-+3.7S%5BT%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >------ Factoring out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5BC%5D ALIGN=MIDDLE  ALT=\"S%5BC%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5BT%5D ALIGN=MIDDLE  ALT=\"S%5BT%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or speed of train = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-+370%29%2F-+3.7 ALIGN=MIDDLE  ALT=\"%28-+370%29%2F-+3.7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28100%29 ALIGN=MIDDLE  ALT=\"highlight_green%28100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/h \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28250%2F100%29+%2B+120%2FS%5BC%5D+=+4 ALIGN=MIDDLE  ALT=\"%28250%2F100%29+%2B+120%2FS%5BC%5D+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Substituting 100 for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5BT%5D ALIGN=MIDDLE  ALT=\"S%5BT%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > in eq (i)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5+%2B+120%2FS%5BC%5D+=+4 ALIGN=MIDDLE  ALT=\"2.5+%2B+120%2FS%5BC%5D+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2FS%5BC%5D+=+4+-+2.5 ALIGN=MIDDLE  ALT=\"120%2FS%5BC%5D+=+4+-+2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2FS%5BC%5D+=+1.5 ALIGN=MIDDLE  ALT=\"120%2FS%5BC%5D+=+1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5S%5BC%5D+=+120 ALIGN=MIDDLE  ALT=\"1.5S%5BC%5D+=+120\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- Cross-multiplying\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5BC%5D ALIGN=MIDDLE  ALT=\"S%5BC%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or speed of car = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F1.5 ALIGN=MIDDLE  ALT=\"120%2F1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2880%29 ALIGN=MIDDLE  ALT=\"highlight_green%2880%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/h \r<BR>\n" );
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document.write( "-------<BR>\n" );
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document.write( "-------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250%2FS%5BT%5D+%2B+120%2FS%5BC%5D+=+4 ALIGN=MIDDLE  ALT=\"250%2FS%5BT%5D+%2B+120%2FS%5BC%5D+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28250%29%2F100+%2B+%28120%29%2F80+=+4 ALIGN=MIDDLE  ALT=\"%28250%29%2F100+%2B+%28120%29%2F80+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "2.5 + 1.5 = 4<BR>\n" );
document.write( "4 = 4 (TRUE)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=130%2FS%5BT%5D+%2B+240%2FS%5BC%5D+=+4.3 ALIGN=MIDDLE  ALT=\"130%2FS%5BT%5D+%2B+240%2FS%5BC%5D+=+4.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------- eq (ii)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28130%29%2F100+%2B+%28240%29%2F80+=+4.3 ALIGN=MIDDLE  ALT=\"%28130%29%2F100+%2B+%28240%29%2F80+=+4.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "1.3 + 3 = 4.3<BR>\n" );
document.write( "4.3 = 4.3 (TRUE)\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at  MathMadEzy@aol.com </SPAN>\n" );
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