document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669481>Question 669481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man travels a total distance of 166km/hr. his average speed for the first 130km is xkm/hr and for the remaining journey , (x-25)km/hr. if the whole journey takes 3 hours and 15 minutes , form an equation in terms of x.<BR>\n" );
document.write( "solve this equation and hence find the time he would have saved if he maintains an average speed of xkm/hr throughout ?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416490 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=416490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  a man travels a total distance of 166km/hr.<BR>\n" );
document.write( " his average speed for the first 130km is xkm/hr and for the remaining journey, (x-25)km/hr.<BR>\n" );
document.write( "if the whole journey takes 3 hours and 15 minutes, form an equation in terms of x.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Change 3 hrs 15 min to 3.25 hrs<BR>\n" );
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document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=130%2Fx ALIGN=MIDDLE  ALT=\"130%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F%28%28x-25%29%29 ALIGN=MIDDLE  ALT=\"36%2F%28%28x-25%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3.25<BR>\n" );
document.write( "Multiply by x(x-25), results<BR>\n" );
document.write( "130(x-25) + 36x = 3.25x(x-25)<BR>\n" );
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document.write( "130x - 3250 + 36x = 3.25x^2 - 81.25x<BR>\n" );
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document.write( "166x - 3250 = 3.25x^2 - 81.25x<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "3.25x^2 - 81.25x - 166x + 3250 = 0<BR>\n" );
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document.write( "3.25x^2 - 247.25x + 3250 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "solve this equation <BR>\n" );
document.write( "Use the quadratic formula to find x;<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( " a=3.25, b=-247.25, c=3250<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-247.25%29+%2B-+sqrt%28-247.25%5E2-4%2A3.25%2A3250+%29%29%2F%282%2A3.25%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-247.25%29+%2B-+sqrt%28-247.25%5E2-4%2A3.25%2A3250+%29%29%2F%282%2A3.25%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do this rather tedious math, the reasonable solution x ~ 59.18 km/h <BR>\n" );
document.write( ";<BR>\n" );
document.write( "find the time he would have saved if he maintains an average speed of xkm/hr throughout ? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=166%2F59.18 ALIGN=MIDDLE  ALT=\"166%2F59.18\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.8 hrs<BR>\n" );
document.write( "3.25 - 2.8 = .45 hrs saved (.45*60 = 27 min) </SPAN>\n" );
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