document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58873>Question 58873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.\r<BR>\n" );
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document.write( "This is what I have...Using distance formula d=rt (distance=rate x time) here.<BR>\n" );
document.write( "Let x=Steve's speed (or rate). Using distance formula d=rt and solving for time, t=d/r. So since Steve's speed is x and distance is 600 miles, then Steve's time is 600/x. Steve's trip would have been 1 hour less if his speed was 20mph faster, or x+20. Distance is still 600 miles, so Steve's faster time would have been 600/(x+20). So the equation is to take the expression for Steve's actual time, subtract 1 from that, and set equal to his faster time. Solve for x.\r<BR>\n" );
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document.write( "Im stuck now </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40428 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=40428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. <BR>\n" );
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document.write( "you have the right idea:<BR>\n" );
document.write( "Original time - 1 hr = time going faster<BR>\n" );
document.write( "The equation as you stated it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2Fx+-+1 ALIGN=MIDDLE  ALT=\"600%2Fx+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F%28x%2B20%29 ALIGN=MIDDLE  ALT=\"600%2F%28x%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To solve for x you must get rid of those denominators, you do this by mult the<BR>\n" );
document.write( "equation by x(x+20), a common denominator, you then have:<BR>\n" );
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document.write( "600(x+20) - 1(x(x+20) = 600x<BR>\n" );
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document.write( "600x + 12000 - x^2 - 20x = 600x<BR>\n" );
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document.write( "-x^2 + 600x - 600x - 20x + 12000 = 0<BR>\n" );
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document.write( "-x^2 - 20x + 12000 = 0<BR>\n" );
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document.write( "x^2 + 20x - 12000 = 0; Mult eq by -1, easier to factor when x^2 is positive<BR>\n" );
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document.write( "Factors to:<BR>\n" );
document.write( "(x + 120)(x - 100) = 0<BR>\n" );
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document.write( "x = +100, the positive solution is what we want here:<BR>\n" );
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document.write( "We can check that using time:<BR>\n" );
document.write( "(600/100) - 1 = (600/120)<BR>\n" );
document.write( "6 - 1 = 5<BR>\n" );
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