document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128381>Question 1128381</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An airplane flies 235 miles with a constant speed of 564 mph and another 225 miles with a constant speed of 540 mph. How much time in total does it take to travel these distances? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744838 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=744838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=235%2F564%2B225%2F540 ALIGN=MIDDLE  ALT=\"235%2F564%2B225%2F540\"   DISABLED_style= \"max-width:90%; height:auto;\" >, in hours\r<BR>\n" );
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document.write( "------------------MORE DETAIL---------------------------\r<BR>\n" );
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document.write( "Ratio of distance to time, is speed.<BR>\n" );
document.write( "D, distance; unit may be miles;<BR>\n" );
document.write( "T, time; unit may be hours<BR>\n" );
document.write( "R, \"speed\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2FT=R ALIGN=MIDDLE  ALT=\"D%2FT=R\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the uni for R could be MILES per HOUR.\r<BR>\n" );
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document.write( "A couple of simple algebra steps:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28D%2FT%29T=RT ALIGN=MIDDLE  ALT=\"%28D%2FT%29T=RT\"   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=D=RT ALIGN=MIDDLE  ALT=\"D=RT\"   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=D%281%2FR%29=RT%281%2FR%29 ALIGN=MIDDLE  ALT=\"D%281%2FR%29=RT%281%2FR%29\"   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=D%2FR=T ALIGN=MIDDLE  ALT=\"D%2FR=T\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a formula for time.\r<BR>\n" );
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document.write( "Look at the problem description.  Two different distances as part of a trip, and each distance at a different speed.\r<BR>\n" );
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document.write( "|  flies 235 miles with a constant speed of 564 mph |\r<BR>\n" );
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document.write( "The amount of time for this was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=235%28miles%29%2A%281%2F564%29%28hours%2Fmiles%29=%28235%2F564%29hours ALIGN=MIDDLE  ALT=\"235%28miles%29%2A%281%2F564%29%28hours%2Fmiles%29=%28235%2F564%29hours\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "| and another 225 miles with a constant speed of 540 mph.  |\r<BR>\n" );
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document.write( "This portion amount of time was  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28225%2F540%29hours ALIGN=MIDDLE  ALT=\"%28225%2F540%29hours\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The total amount of time was the sum:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=235%2F564%2B225%2F540 ALIGN=MIDDLE  ALT=\"235%2F564%2B225%2F540\"   DISABLED_style= \"max-width:90%; height:auto;\" >, in hours;\r<BR>\n" );
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document.write( "The rest is basic arithmetic.\r<BR>\n" );
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document.write( "Factorizing numerator and denominators completely:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2A47%29%2F%282%2A2%2A3%2A47%29%2B%283%2A3%2A5%2A5%29%2F%282%2A2%2A3%2A3%2A3%2A5%29 ALIGN=MIDDLE  ALT=\"%285%2A47%29%2F%282%2A2%2A3%2A47%29%2B%283%2A3%2A5%2A5%29%2F%282%2A2%2A3%2A3%2A3%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Reduce EAch of them:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F12%2B5%2F12 ALIGN=MIDDLE  ALT=\"5%2F12%2B5%2F12\"   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=10%2F12 ALIGN=MIDDLE  ALT=\"10%2F12\"   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=highlight%285%2F6%29 ALIGN=MIDDLE  ALT=\"highlight%285%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28hour%29 ALIGN=MIDDLE  ALT=\"highlight%28hour%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Change into minutes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F6%29%2A%2860%28minutes%2Fhour%29%29 ALIGN=MIDDLE  ALT=\"%285%2F6%29%2A%2860%28minutes%2Fhour%29%29\"   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=highlight%2850%2Aminutes%29 ALIGN=MIDDLE  ALT=\"highlight%2850%2Aminutes%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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