document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171829>Question 171829</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this word problem:<BR>\n" );
document.write( "Alex can run 26 miles in 6 hours, Bethany can run 26 mies in 5 hours and carol can run 26 miles in 4 hours. If they start together and each run at their constant speeds, how long does it take for them to finish a total of 26 miles among the three of them? express your answer in as a common fraction in simplest form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126985 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=126985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Alex can run 26 miles in 6 hours, Bethany can run 26 miles in 5 hours and carol<BR>\n" );
document.write( " can run 26 miles in 4 hours. If they start together and each run at their<BR>\n" );
document.write( " constant speeds, how long does it take for them to finish a total of 26 miles<BR>\n" );
document.write( " among the three of them?<BR>\n" );
document.write( " express your answer in as a common fraction in simplest form.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time required for the three of them run a total of 26 mi<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Speed = dist/time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Dist = speed * time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F6 ALIGN=MIDDLE  ALT=\"26%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >t + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F5 ALIGN=MIDDLE  ALT=\"26%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >t + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F4 ALIGN=MIDDLE  ALT=\"26%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 26<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply equation by 60 to get rid of the denominators; results:<BR>\n" );
document.write( "10(26)t + 12(26)t + 15(26) = 60(26)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Simplify, divide equation by 26<BR>\n" );
document.write( "10t + 12t + 15t = 60<BR>\n" );
document.write( ":<BR>\n" );
document.write( "37t = 60<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F37 ALIGN=MIDDLE  ALT=\"60%2F37\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 1<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2F37 ALIGN=MIDDLE  ALT=\"23%2F37\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs or 1 hr 37.3 min<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check on a calc using 1.62 hrs<BR>\n" );
document.write( "(26/6)*1.62  + (26/5)*1.62  + (26/4)*1.26 = 25.97 ~ 26 mi\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );