document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36054>Question 36054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sara's river boat travels downstream 16 miles in 2 hours. It returns the same distance upstream in 3 hours. Find the rate of the boat in still water and the rate of the current. Please explain how to get the answer. Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22065 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SEE THIS WHICH IS SIMILAR TO YOUR PROBLEM AND SOLVE<BR>\n" );
document.write( "YOUR PROBLEM...NOTE  THAT STILL WATER MEANS VELOCITY OF STREAM=0<BR>\n" );
document.write( "A boat travels at the speed of 20 Miles per hour in<BR>\n" );
document.write( "still water. It travels 48 miles up stream, and then<BR>\n" );
document.write( "returns to the starting point in a total of five<BR>\n" );
document.write( "hours. The speed of the current is ____ miles per<BR>\n" );
document.write( "hour.<BR>\n" );
document.write( "distance =speed * time..or...time=distance/speed<BR>\n" );
document.write( "Still water speed of boat =20 mph<BR>\n" );
document.write( "let the stream velocity be =x mph<BR>\n" );
document.write( "so its speed upstream =20-x<BR>\n" );
document.write( "its speed down stream =20+x<BR>\n" );
document.write( "distance travelled either way =48 miles<BR>\n" );
document.write( "time taken to travel upstream=48/(20-x)<BR>\n" );
document.write( "time taken to travel down stream =48/(20+x)<BR>\n" );
document.write( "total time of travel =5 hours..hence<BR>\n" );
document.write( "[48/(20-x)]+[48/(20+x)]=5<BR>\n" );
document.write( "48[(20+x+20-x)/((20-x)(20+x))]=5<BR>\n" );
document.write( "48*40=5(20^2-x^2)=2000-5x^2<BR>\n" );
document.write( "5x^2=2000-1920=8=<BR>\n" );
document.write( "x^2=80/5=16 </SPAN>\n" );
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