document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=302721>Question 302721</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hawk can fly 300 miles in 8 hours with the wind. Flying against the wind, the hawk covers only one-third of the distance in 7 hours. What is the rate of the wind? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #217189 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=217189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A hawk can fly 300 miles in 8 hours with the wind. <BR>\n" );
document.write( "Flying against the wind, the hawk covers only one-third of the distance in 7 hours. <BR>\n" );
document.write( "What is the rate of the wind?<BR>\n" );
document.write( ";<BR>\n" );
document.write( "let w = the rate of the wind<BR>\n" );
document.write( "let s = the flying rate of the hawk<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+w) = effective speed with the wind<BR>\n" );
document.write( "(s-w) = effective speed against the wind<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Two distance equations:<BR>\n" );
document.write( "8(s+w) = 300<BR>\n" );
document.write( "7(s-w) = 100<BR>\n" );
document.write( ":<BR>\n" );
document.write( "8s + 8w = 300<BR>\n" );
document.write( "7s - 7w = 100<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the 1st equation by 7 & the 2nd equation by 8, subtract<BR>\n" );
document.write( "56s + 56w = 2100<BR>\n" );
document.write( "56s - 56w = 800<BR>\n" );
document.write( "-------------------subtraction eliminates s, find w<BR>\n" );
document.write( "112w = 1300<BR>\n" );
document.write( "w = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1300%2F112 ALIGN=MIDDLE  ALT=\"1300%2F112\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "w = 11.6 mph is the rate of the wind<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the speed of the hawk to check our solution for the wind<BR>\n" );
document.write( "8s + 8(11.6) = 300<BR>\n" );
document.write( "8s = 92.8 = 300<BR>\n" );
document.write( "8s = 300 - 92.8<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=207.2%2F8 ALIGN=MIDDLE  ALT=\"207.2%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 25.9 mph<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check it in the 2nd equation<BR>\n" );
document.write( "7s - 7w = 100<BR>\n" );
document.write( "7(25.9) - 7(11.6) = <BR>\n" );
document.write( "181.3 - 81.2 = 100.1 ~ 100; confirms our solution for wind = 11.6 mph </SPAN>\n" );
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