document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66725>Question 66725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1- a six passanger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind  then what is the wind speed?\r<BR>\n" );
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document.write( "2- Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one-half hour than Smith's. How fast was each one traveling ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47373 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=47373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1- a six passanger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind then what is the wind speed?<BR>\n" );
document.write( "With Wind:<BR>\n" );
document.write( "rate = 180 + x<BR>\n" );
document.write( "time = t<BR>\n" );
document.write( "distance = 7<BR>\n" );
document.write( "distance/rate = time<BR>\n" );
document.write( "With Wind: 7/(180 + x) = t<BR>\n" );
document.write( "Against Wind:<BR>\n" );
document.write( "rate = 180 - x<BR>\n" );
document.write( "time = t<BR>\n" );
document.write( "distance = 5<BR>\n" );
document.write( "distance/rate = time<BR>\n" );
document.write( "Against Wind: 5/(180 - x) = t<BR>\n" );
document.write( "t = t<BR>\n" );
document.write( "7/(180 + x) = 5/(180 - x)<BR>\n" );
document.write( "7(180 - x) = 5(180 + x)<BR>\n" );
document.write( "1260 - 7x = 900 + 5x<BR>\n" );
document.write( "360 = 12x<BR>\n" );
document.write( "30 = x<BR>\n" );
document.write( "The wind was 30mph.<BR>\n" );
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document.write( "2- Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one-half hour longer than Smith's. How fast was each one traveling ?<BR>\n" );
document.write( "Smith:<BR>\n" );
document.write( "rate = r<BR>\n" );
document.write( "time = t<BR>\n" );
document.write( "distance = 45<BR>\n" );
document.write( "distance/time = rate<BR>\n" );
document.write( "45/t = r<BR>\n" );
document.write( "Jone:<BR>\n" );
document.write( "rate = r + 5<BR>\n" );
document.write( "time = t + 1.5<BR>\n" );
document.write( "distance = 70<BR>\n" );
document.write( "distance/time = rate<BR>\n" );
document.write( "70/(t + 1.5) = r + 5<BR>\n" );
document.write( "70/(t + 1.5) - 5 = r<BR>\n" );
document.write( "r = r<BR>\n" );
document.write( "45/t = 70/(t + 1.5) - 5<BR>\n" );
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