document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180172>Question 180172</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/003052217x/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Sailing with the current, a boat takes 3 hours to travel 48 miles. The return trip, against the current, takes 4 hours. Find the average speed of the boat for the entire trip and the speed of the current.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135049 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=135049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Distance(d) equals Rate(r) times Time(t) or d=rt;  r=d/t and t=d/r<BR>\n" );
document.write( "Average speed of the boat for the entire trip =total distance divided by total time<BR>\n" );
document.write( "Average speed =(48+48)/7=96/7=13.71 mph\r<BR>\n" );
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document.write( "Let r1=rate of the boat in still water<BR>\n" );
document.write( "Let r2=rate of the current<BR>\n" );
document.write( "Now we know that:<BR>\n" );
document.write( "r1+r2= =48/3=16 mph----------------eq1<BR>\n" );
document.write( "r1-r2=48/4=12 mph------------------eq2\r<BR>\n" );
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document.write( "add eq1 and eq2:\r<BR>\n" );
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document.write( "2r1=28  divide each side by 2<BR>\n" );
document.write( "r1=14 mph------------------------------rate of the boat in still water<BR>\n" );
document.write( "substitute r1=14 mph into eq1:<BR>\n" );
document.write( "14+r2=16 subtract 14 from each side<BR>\n" );
document.write( "r2=2 mph----------------------------------rate of the current\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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