document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=670079>Question 670079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A conveyor belt that is 450 feet long is moving apples in a warehouse. A rabbit hops on the belt and runs in the same direction the belt is moving for 400 feet. It then turns around and runs against the belt for 380 feet. The first trip takes 70 seconds, and the return trip takes 200 second. Determine the speed of the rabbit and the speed of the bely<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 #416764 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=416764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A conveyor belt that is 450 feet long is moving apples in a warehouse. A rabbit hops on the belt and runs in the same direction the belt is moving for 400 feet. It then turns around and runs against the belt for 380 feet. The first trip takes 70 seconds, and the return trip takes 200 second. Determine the speed of the rabbit and the speed of the bely<BR>\n" );
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document.write( "With the belt DATA:<BR>\n" );
document.write( "distance = 400 ft ; rate = (r+b) ft/sec ; time = 400/(r+b) seconds<BR>\n" );
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document.write( "Against the belt DATA:<BR>\n" );
document.write( "distance 380 ft ; rate = (r-b) ft/sec ; time = 380/(r-b) seconds\r<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "400/(r+b) = 70 seconds<BR>\n" );
document.write( "380/(r-b) = 200 seconds<BR>\n" );
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document.write( "70r + 70b = 400<BR>\n" );
document.write( "200r - 200b = 380<BR>\n" );
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document.write( "14000r + 14000b = 80000<BR>\n" );
document.write( "14000r - 14000b = 70*380<BR>\n" );
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document.write( "Add and solve for \"r\":<BR>\n" );
document.write( "28000r = 106600<BR>\n" );
document.write( "r = 3.81 ft/sec (The rabbit's speed)<BR>\n" );
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document.write( "Solve for \"b\":<BR>\n" );
document.write( "70r + 70b = 400<BR>\n" );
document.write( "70*3.81 + 70b = 400<BR>\n" );
document.write( "70b = 133.5<BR>\n" );
document.write( "b = 1.91 ft/sec (The rate of the belt)<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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