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 #530334 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=530334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Number 1 item could be analyzed by filling a data table for rate, time, distance; the question is a uniform rates for travel type.\r<BR>\n" );
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document.write( "r = speed for bicycle<BR>\n" );
document.write( "t =  time for bicycle\r<BR>\n" );
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document.write( "__________________speed___________time_________distance<BR>\n" );
document.write( "motorcycle________r+15____________t-2__________60<BR>\n" );
document.write( "bicycle____________r_______________t___________60\r<BR>\n" );
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document.write( "The number 1 item does not actually contain a question; it only contains a description.  No matter, because you specified that you want a mathematical sentence.  RT=D for rate, time, distance.  The rate unit is kilometers per hour.  You can first form TWO equations:<BR>\n" );
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document.write( "(r+15)(t-2)=60<BR>\n" );
document.write( "and<BR>\n" );
document.write( "rt=60<BR>\n" );
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document.write( "How much more do you need from that?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rt%2B15t-2r-30=60 ALIGN=MIDDLE  ALT=\"rt%2B15t-2r-30=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rt%2B15t-2r-30=rt ALIGN=MIDDLE  ALT=\"rt%2B15t-2r-30=rt\"   DISABLED_style= \"max-width:90%; height:auto;\" >, using substitution with the other equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15t-2r-30=0 ALIGN=MIDDLE  ALT=\"15t-2r-30=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Which do you want to finish solving first?  t or r ?<BR>\n" );
document.write( "My choice..... using the second equation again, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=60%2Ft ALIGN=MIDDLE  ALT=\"r=60%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15t-2%2860%2Ft%29-30=0 ALIGN=MIDDLE  ALT=\"15t-2%2860%2Ft%29-30=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-8%2Ft-2=0 ALIGN=MIDDLE  ALT=\"t-8%2Ft-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, just divided both sides by 15.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28t%5E2-8t-2t=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28t%5E2-8t-2t=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, just multiplied both sides by t.\r<BR>\n" );
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document.write( "Use the general solution of a quadratic formula, and select the meaningful result for t.  Use it to solve for r. </SPAN>\n" );
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