document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177756>Question 1177756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/ h, she can fly from her hut to Bald Mountain in 6 hours. Baba Yaga starts her trip, finds her broom 40 km before Bald Mountain, and turns around and flies home. The entire journey takes 9 hours. Find the speed Baba Yaga flies in quiet weather (with no tailwind or headwind). <BR>\n" );
document.write( "Can someone explain step by step approach to solving this problem?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806857 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/ h, she can fly from her hut to Bald Mountain in 6 hours. Baba Yaga starts her trip, finds her broom 40 km before Bald Mountain, and turns around and flies home. The entire journey takes 9 hours. Find the speed Baba Yaga flies in quiet weather (with no tailwind or headwind).<BR>\n" );
document.write( "let  the speed in still air be x<BR>\n" );
document.write( "tailwind of 2 km/ h, <BR>\n" );
document.write( "Forward effective speed =( x+2) km/h<BR>\n" );
document.write( "Time taken to reach bald mountain = 6 hours<BR>\n" );
document.write( "Distance= speed * time = 6(x+2) km<BR>\n" );
document.write( "But she finds the broom 40 km before<BR>\n" );
document.write( "So that distance is 6(x+2)-40  <BR>\n" );
document.write( "Actual distance with tailwind/speed<BR>\n" );
document.write( " =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%286%28x%2B2%29-40%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"+%286%28x%2B2%29-40%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Return speed = (x-2) km/h<BR>\n" );
document.write( "Return time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%28x%2B2%29-40%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%286%28x%2B2%29-40%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%28x%2B2%29-40%29%2F%28x%2B2%29+%2B+%286%28x%2B2%29-40%29%2F%28x-2%29=9 ALIGN=MIDDLE  ALT=\"%286%28x%2B2%29-40%29%2F%28x%2B2%29+%2B+%286%28x%2B2%29-40%29%2F%28x-2%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286x%2B12-40%29%2F%28x%2B2%29%29%2B%28%286x%2B12-40%29+%2F%28x-2%29%29=9 ALIGN=MIDDLE  ALT=\"%28%286x%2B12-40%29%2F%28x%2B2%29%29%2B%28%286x%2B12-40%29+%2F%28x-2%29%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286x-28%29%2F%28x%2B2%29%29%2B%28+6x-28%29%2F%28x-2%29=9 ALIGN=MIDDLE  ALT=\"%28%286x-28%29%2F%28x%2B2%29%29%2B%28+6x-28%29%2F%28x-2%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%286x-28%29+%2B+%28x%2B2%29%286x-28%29=+9%28x%5E2-4%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%286x-28%29+%2B+%28x%2B2%29%286x-28%29=+9%28x%5E2-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E2+-28x+-12x%2B56+%2B+6x%5E2-28x%2B12x-56+=+9x%5E2-36 ALIGN=MIDDLE  ALT=\"6x%5E2+-28x+-12x%2B56+%2B+6x%5E2-28x%2B12x-56+=+9x%5E2-36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E2-56x=9x%5E2-36 ALIGN=MIDDLE  ALT=\"12x%5E2-56x=9x%5E2-36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+-56x%2B36=0 ALIGN=MIDDLE  ALT=\"3x%5E2+-56x%2B36=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve for x\r<BR>\n" );
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document.write( "x=18 \r<BR>\n" );
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document.write( "18km/h in still water\r<BR>\n" );
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document.write( " </SPAN>\n" );
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