document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=409828>Question 409828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A turbo-jet flies 50 mph. faster than a super-prop plane. If a turbo-jet goes 2000 miles in 3 hours less time than it takes the super-prop to go 2800 miles, find the speed of each plane.\r<BR>\n" );
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document.write( "I set this up as 2800/10 + 50 = 2000/t-3\r<BR>\n" );
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document.write( "when I factor the GCF of t(t-3) I cannot get any further...please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #288356 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=288356\">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=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed of super-prop<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j ALIGN=MIDDLE  ALT=\"j\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed of turbo-jet<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time for super-prop to go 2800  mi<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j+=+s+%2B+50 ALIGN=MIDDLE  ALT=\"j+=+s+%2B+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000+=+j%2A%28t+-+3%29 ALIGN=MIDDLE  ALT=\"2000+=+j%2A%28t+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2800+=+s%2At ALIGN=MIDDLE  ALT=\"2800+=+s%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is 3 equations and 3 unknowns, so it's solvable<BR>\n" );
document.write( "Substitute (1) in (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000+=+%28s+%2B+50%29%2A%28t+-+3%29 ALIGN=MIDDLE  ALT=\"2000+=+%28s+%2B+50%29%2A%28t+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000+=+s%2At+%2B+50t++-+3s+-+150 ALIGN=MIDDLE  ALT=\"2000+=+s%2At+%2B+50t++-+3s+-+150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (3) in (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000+=+2800+%2B+50%2A%282800%2Fs%29+-+3s+-+150 ALIGN=MIDDLE  ALT=\"2000+=+2800+%2B+50%2A%282800%2Fs%29+-+3s+-+150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3s+=+2800+-+2000+-+150+%2B+50%2A%282800%2Fs%29 ALIGN=MIDDLE  ALT=\"3s+=+2800+-+2000+-+150+%2B+50%2A%282800%2Fs%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3s+=+650+%2B+50%2A%282800%2Fs%29 ALIGN=MIDDLE  ALT=\"3s+=+650+%2B+50%2A%282800%2Fs%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3s%5E2+=+650s+%2B+140000 ALIGN=MIDDLE  ALT=\"3s%5E2+=+650s+%2B+140000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3s%5E2+-+650s+-+140000=+0 ALIGN=MIDDLE  ALT=\"3s%5E2+-+650s+-+140000=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+3 ALIGN=MIDDLE  ALT=\"a+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-650 ALIGN=MIDDLE  ALT=\"b+=+-650\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-140000%7D%7D%0D%0A%7B%7B%7Bs+=+%28-%28-650%29+%2B-+sqrt%28+%28-650%29%5E2-4%2A3%2A%28-140000%29+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28+650+%2B-+sqrt%28++422500+%2B+1680000+%29%29%2F+6+ ALIGN=MIDDLE  ALT=\"s+=+%28+650+%2B-+sqrt%28++422500+%2B+1680000+%29%29%2F+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28+650+%2B-+sqrt%28++2102500+%29%29%2F+6+ ALIGN=MIDDLE  ALT=\"s+=+%28+650+%2B-+sqrt%28++2102500+%29%29%2F+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28+650+%2B-+1450%29%2F+6+ ALIGN=MIDDLE  ALT=\"s+=+%28+650+%2B-+1450%29%2F+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+2100%2F6 ALIGN=MIDDLE  ALT=\"s+=+2100%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+350 ALIGN=MIDDLE  ALT=\"s+=+350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j+=+s+%2B+50 ALIGN=MIDDLE  ALT=\"j+=+s+%2B+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=j+=+400 ALIGN=MIDDLE  ALT=\"j+=+400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The turbo-jet has a speed of 400 mi/hr<BR>\n" );
document.write( "The super-prop has a speed of 350 mi/hr<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000+=+%28s+%2B+50%29%2A%28t+-+3%29 ALIGN=MIDDLE  ALT=\"2000+=+%28s+%2B+50%29%2A%28t+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000+=+%28350+%2B+50%29%2A%28t+-+3%29 ALIGN=MIDDLE  ALT=\"2000+=+%28350+%2B+50%29%2A%28t+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000%2F400+=+t+-+3 ALIGN=MIDDLE  ALT=\"2000%2F400+=+t+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+5+%2B+3 ALIGN=MIDDLE  ALT=\"t+=+5+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+8 ALIGN=MIDDLE  ALT=\"t+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2800+=+s%2At ALIGN=MIDDLE  ALT=\"2800+=+s%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2800+=+350%2A8 ALIGN=MIDDLE  ALT=\"2800+=+350%2A8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2800+=+2800 ALIGN=MIDDLE  ALT=\"2800+=+2800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );