document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174710>Question 174710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Bill rides his bike 3 mi to Fred's house and then walks with Fred the remaining 1 mi to school, it will take him 30 min. But if he rides the entire distance, it will take him only 20 min. Find his biking speed and walking speed.\r<BR>\n" );
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document.write( "for this equation, i tried to set the problems up like this:\r<BR>\n" );
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document.write( "3 b + 1 w= 30 min<BR>\n" );
document.write( "b = 20 min\r<BR>\n" );
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document.write( "3(20) + 1 w = 30 <BR>\n" );
document.write( "60 + 1 w = 30<BR>\n" );
document.write( "-60       -60<BR>\n" );
document.write( "1 w = -30<BR>\n" );
document.write( "I would like to see if this is a correct way to work. If not, then please assist me. I would really appreciate it!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129761 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=129761\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Bill rides his bike 3 mi to Fred's house and then walks with Fred the remaining 1 mi to school, it will take him 30 min. But if he rides the entire distance, it will take him only 20 min. Find his biking speed and walking speed. <BR>\n" );
document.write( "for this equation, i tried to set the problems up like this: <BR>\n" );
document.write( "3 b + 1 w= 30 min<BR>\n" );
document.write( "b = 20 min <BR>\n" );
document.write( "3(20) + 1 w = 30 <BR>\n" );
document.write( "60 + 1 w = 30<BR>\n" );
document.write( "-60 -60<BR>\n" );
document.write( "1 w = -30<BR>\n" );
document.write( "==============================<BR>\n" );
document.write( "Bill DATA:<BR>\n" );
document.write( "Bike:<BR>\n" );
document.write( "distance = 3 mi ; rate =  b mph ; time = d/r = 3/b hrs<BR>\n" );
document.write( "Walk:<BR>\n" );
document.write( "distance = 1 mi : rate = w mph ; time = d/r = 1/w hrs<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Bill equation: <BR>\n" );
document.write( "time + time = (1/2) hr<BR>\n" );
document.write( "(3/b) + (1/w) = 1/2<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Bill DATA:<BR>\n" );
document.write( "distance = 4 mi; rate = b mph ; time = 4/b hrs<BR>\n" );
document.write( "Bill/bike equation: <BR>\n" );
document.write( "4/b = (1/3) hr<BR>\n" );
document.write( "b/4 = 3<BR>\n" );
document.write( "b = 12 mph (speed at which Bill bikes)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Substitute into (3/b) + (1/w) = 1/2 to solve for \"w\"<BR>\n" );
document.write( "3/12 +  1/w = 1/2<BR>\n" );
document.write( "1/w = 1/4<BR>\n" );
document.write( "w = 4 mph (speed at which Bill walks)<BR>\n" );
document.write( "=======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );