document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257415>Question 257415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a motorist drove a for 2 hours at one speed & then for 3 hours at another speed & one hour at the second speed, he would have covered 2444km. find the two speeds. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189403 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=189403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is an RTD problem. Here is a table base on given information:<BR>\n" );
document.write( "motorist . . . . . . . . .rate . . . . . . . . . .time . . . . . . . . . .distance<BR>\n" );
document.write( " . . . . . . . . . . . . . . .. R1 . . . . . . . . . . . .2 . . . . . . . . . .. . 2R1<BR>\n" );
document.write( " . . . . . . . . . . . . . . . .R2 . . . . . . . . . . . .3 . . . . . . . . .. .  .3R2<BR>\n" );
document.write( " . . . . . . . . . . . . . . . R2 . . . . . . . . .. . . . 1 . . . . . . . . .. . .1R2<BR>\n" );
document.write( " . . . . . .. .  . . . . . . . . ..  .. . . . . . . . . . .6 . .  . . . .. . . . .  . .2444<BR>\n" );
document.write( "We see that<BR>\n" );
document.write( "(i) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2R1+%2B+4R2++=+2444 ALIGN=MIDDLE  ALT=\"2R1+%2B+4R2++=+2444\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or dividing by 2, we get<BR>\n" );
document.write( "(ii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R1+%2B+2R2+=+1222 ALIGN=MIDDLE  ALT=\"R1+%2B+2R2+=+1222\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and that the average rate is<BR>\n" );
document.write( "avgR = 2444/6 = 407.33<BR>\n" );
document.write( "This means that <BR>\n" );
document.write( "(iii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28R1%2BR2%29%2F2+=+407.33 ALIGN=MIDDLE  ALT=\"%28R1%2BR2%29%2F2+=+407.33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "(iv) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R1+%2B+R2+=+814.66 ALIGN=MIDDLE  ALT=\"R1+%2B+R2+=+814.66\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substituting (iv) into (ii) we get<BR>\n" );
document.write( "(v) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R1+%2B+R2+%2B+R2+=+1222 ALIGN=MIDDLE  ALT=\"R1+%2B+R2+%2B+R2+=+1222\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(vii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=814.66+%2B+R2+=+1222 ALIGN=MIDDLE  ALT=\"814.66+%2B+R2+=+1222\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solving for R2, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R2+=+407.33 ALIGN=MIDDLE  ALT=\"R2+=+407.33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This makes R1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R1+=+407.33 ALIGN=MIDDLE  ALT=\"R1+=+407.33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "The rates appear to be the same. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );