document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=612771>Question 612771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Douglass goes hiking every weekend, while Tyrone usually stays in the city to drink coffee and read the newspaper. Both douglass and Tyrone decide to climb Mt. Boulderdash on the same weekend in June, but do not hike it together. Douglass can hike 3 times as fast as Tyrone and the hike takes them a combined total of 13 hours. How long does it take Tyrone to climb the mountain? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #385807 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=385807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Douglass goes hiking every weekend, while Tyrone usually stays in the city to drink coffee and read the newspaper. Both douglass and Tyrone decide to climb Mt. Boulderdash on the same weekend in June, but do not hike it together. Douglass can hike 3 times as fast as Tyrone and the hike takes them a combined total of 13 hours. How long does it take Tyrone to climb the mountain?<BR>\n" );
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document.write( "Let s = T's hiking speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3s = D's hiking speed<BR>\n" );
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document.write( "let t = time required by T to climb the mountain<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(13-t) = time required by D to do it<BR>\n" );
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document.write( "Write a distance equation; Dist = speed * time<BR>\n" );
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document.write( "T's dist = D's dist<BR>\n" );
document.write( "st = 3s(13-t)<BR>\n" );
document.write( "st = 39s - 3st<BR>\n" );
document.write( "st + 3st = 39s<BR>\n" );
document.write( "Divide thru by s<BR>\n" );
document.write( "t + 3t = 39<BR>\n" );
document.write( "4t = 39<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39%2F4 ALIGN=MIDDLE  ALT=\"39%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 9.75 hrs is T's hiking time up the mountain<BR>\n" );
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document.write( "See if this checks out.<BR>\n" );
document.write( "D's time: 13 - 9.75 = 3.25 hrs, which is 1/3 of T's time, reasonable since he travels 3 times a fast<BR>\n" );
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