document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184854>Question 184854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The rate of one plane is 80 kilometers an hour less than taht of a second. If the first plane takes 6 2/3 hours to travel the same distance that the second plane travels in 4 hours, find the rate of each. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138728 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The rate of one plane is 80 kilometers an hour less than that of a second.<BR>\n" );
document.write( " If the first plane takes 6 2/3 hours to travel the same distance that the<BR>\n" );
document.write( " second plane travels in 4 hours, find the rate of each.<BR>\n" );
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document.write( "Let r = rate of the slow plane<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(r+80) = rate of the fast plane<BR>\n" );
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document.write( "make 6 2/3 hrs into an improper fraction, namely <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F3 ALIGN=MIDDLE  ALT=\"20%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
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document.write( "Write a distance equation: Dist = time * speed<BR>\n" );
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document.write( "slow plane dist = Fast plane dist<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F3 ALIGN=MIDDLE  ALT=\"20%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >r = 4(r+80)<BR>\n" );
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document.write( "Mult both sides by 3 to get rid of the denominator<BR>\n" );
document.write( "20r = 12(r+80) <BR>\n" );
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document.write( "20r = 12r + 960<BR>\n" );
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document.write( "20r - 12r = 960<BR>\n" );
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document.write( "8r = 960<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=960%2F8 ALIGN=MIDDLE  ALT=\"960%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 120 km/hr is the 1st plane<BR>\n" );
document.write( "and<BR>\n" );
document.write( "120 + 80 = 200 km/hr is the 2nd plane<BR>\n" );
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document.write( "Check solutions by finding the distances<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F3 ALIGN=MIDDLE  ALT=\"20%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 120 = 800 km<BR>\n" );
document.write( "4 * 200 = 800km; confirms our solution<BR>\n" );
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