document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=878737>Question 878737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please present this in a mathematical sentence.<BR>\n" );
document.write( "1. A motorcycle driver travels 15kph faster than a bicycle rider. The motorcycle driver covers 60 km in two hours less than the time it takes the bicycle rider to travel the same distance? please present it step by step... thank you for helping.\r<BR>\n" );
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document.write( "2. A garden 7m by 12m will be expanded by planting a border of flowers. The border will be of the same width around the entire garden and has an area of 92m^2. please present it step by step... thankyou for helping.\r<BR>\n" );
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document.write( "God bless </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #530333 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=530333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. A motorcycle driver travels 15kph faster than a bicycle rider.<BR>\n" );
document.write( " The motorcycle driver covers 60 km in two hours less than the time it takes the bicycle rider to travel the same distance?:<BR>\n" );
document.write( "Let s = the bike speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+15) = the motorcycle speed<BR>\n" );
document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( "Bike time - M'cycle time = 2hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fs ALIGN=MIDDLE  ALT=\"60%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F%28%28s%2B15%29%29 ALIGN=MIDDLE  ALT=\"60%2F%28%28s%2B15%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2; Sorry for the mistake here!<BR>\n" );
document.write( "multiply eq by s(s+15) cancel the denominators and you have<BR>\n" );
document.write( "60(s+15) - 60s = 2s(s+15)<BR>\n" );
document.write( "60s + 900 - 60s = 2s^2  30s<BR>\n" );
document.write( "Combiner as a quadratic equation on the left<BR>\n" );
document.write( "0 = 2s^2 + 30s - 900<BR>\n" );
document.write( "simplify divide by 2<BR>\n" );
document.write( "s^2 + 15s - 450 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(s+30)(s-15) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "s = 15 km/hr is the bike speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "30 km/hr is M'cycle speed<BR>\n" );
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document.write( "Check this by finding the time of each<BR>\n" );
document.write( "60/15 = 4 hrs<BR>\n" );
document.write( "60/30 = 2 hrs<BR>\n" );
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document.write( "differ: 2 hrs<BR>\n" );
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document.write( "2. A garden 7m by 12m will be expanded by planting a border of flowers. The border will be of the same width around the entire garden and has an area of 92m^2<BR>\n" );
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document.write( "Let x = the width of the border<BR>\n" );
document.write( "Find the area of the garden 7*12 = 84 sq/m<BR>\n" );
document.write( "Find the total area of the garden and the border: 84 + 92 = 176 sq/m<BR>\n" );
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document.write( "The overall length and width will be 2x greater the the garden's<BR>\n" );
document.write( "(2x+7)(2x+12) = 176<BR>\n" );
document.write( "Foil<BR>\n" );
document.write( "4x^2 + 24x + 14x + 84 = 176<BR>\n" );
document.write( "4x^2 + 38x + 84 - 176 = 0<BR>\n" );
document.write( "4x^2 + 38x - 92 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(2x + 23)(2x-4) = 0<BR>\n" );
document.write( "The positive solution<BR>\n" );
document.write( "2x = 4<BR>\n" );
document.write( "x = 2 m is the width of the border<BR>\n" );
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document.write( "Check this , find the area of the overall dimensions + 4m<BR>\n" );
document.write( "11 * 16 = 176 </SPAN>\n" );
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