document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224529>Question 224529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train travels 120 km in the same time that a plane covers 336 km. If the speed of the the plane is 10 km per hour less than 3 times the speed of the train, find both speeds. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167728 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=167728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the distance formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+r%2At ALIGN=MIDDLE  ALT=\"d+=+r%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" > where d = distance, r = rate/speed, and t = time of travel.<BR>\n" );
document.write( "For the train:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+r%5B1%5D%2At ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+r%5B1%5D%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute d = 120km <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120+=+r%5B1%5D%2At ALIGN=MIDDLE  ALT=\"120+=+r%5B1%5D%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite this as:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28t+=+120%2Fr%5B1%5D%29 ALIGN=MIDDLE  ALT=\"highlight_green%28t+=+120%2Fr%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute into the equation for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "For the plane:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+r%5B2%5D%2At ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+r%5B2%5D%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" > Notice that t (time) is the same in both cases. Substitute d = 336km and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D+=+3r%5B1%5D-10 ALIGN=MIDDLE  ALT=\"r%5B2%5D+=+3r%5B1%5D-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=336+=+%283r%5B1%5D-10%29%2At ALIGN=MIDDLE  ALT=\"336+=+%283r%5B1%5D-10%29%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute, from above, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28t+=+120%2Fr%5B1%5D%29 ALIGN=MIDDLE  ALT=\"highlight_green%28t+=+120%2Fr%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=336+=+%28%283r%5B1%5D%29-10%29%28highlight_green%28120%2Fr%5B1%5D%29%29 ALIGN=MIDDLE  ALT=\"336+=+%28%283r%5B1%5D%29-10%29%28highlight_green%28120%2Fr%5B1%5D%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D ALIGN=MIDDLE  ALT=\"r%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=336%2Ar%5B1%5D+=+%28%283r%5B1%5D%29-10%29%2A120%29 ALIGN=MIDDLE  ALT=\"336%2Ar%5B1%5D+=+%28%283r%5B1%5D%29-10%29%2A120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > perform the indicated multiplication on the right side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28336%29%2Ar%5B1%5D%29+=+360r%5B1%5D-1200 ALIGN=MIDDLE  ALT=\"%28336%29%2Ar%5B1%5D%29+=+360r%5B1%5D-1200\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 1200 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2B336r%5B1%5D+=+360r%5B1%5D ALIGN=MIDDLE  ALT=\"1200%2B336r%5B1%5D+=+360r%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=336r%5B1%5D ALIGN=MIDDLE  ALT=\"336r%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200+=+24r%5B1%5D ALIGN=MIDDLE  ALT=\"1200+=+24r%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 24.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50+=+r%5B1%5D ALIGN=MIDDLE  ALT=\"50+=+r%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D+=+3%2850%29-10 ALIGN=MIDDLE  ALT=\"r%5B2%5D+=+3%2850%29-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D+=+50 ALIGN=MIDDLE  ALT=\"r%5B1%5D+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" >km/hr. and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D+=+140 ALIGN=MIDDLE  ALT=\"r%5B2%5D+=+140\"   DISABLED_style= \"max-width:90%; height:auto;\" >km/hr.<BR>\n" );
document.write( "The train is going 50km/hr. and the plane is going 140km/hr. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );