document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254957>Question 254957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If A can finish a job 50% faster than B and 20% faster than C, and together they can finish the job in 4 hours, how long would it take A to finish the job alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187242 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=187242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If A can finish a job 50% faster than B and 20% faster than C, and together they can finish the job in 4 hours, how long would it take A to finish the job alone?<BR>\n" );
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document.write( "If A can finish a job 50% faster than B and 20% faster than C, and together they can finish the job in 4 hours, how long would it take A to finish the job alone?<BR>\n" );
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document.write( "let t = time required by A alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "1.5t = time required by B<BR>\n" );
document.write( "and<BR>\n" );
document.write( "1.2 = time required by C<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ft ALIGN=MIDDLE  ALT=\"4%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%281.5t%29 ALIGN=MIDDLE  ALT=\"4%2F%281.5t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%281.2t%29 ALIGN=MIDDLE  ALT=\"4%2F%281.2t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply equation by 6t, results<BR>\n" );
document.write( "6(4) + 4(4) + 5(4) = 6t<BR>\n" );
document.write( "24 + 16 + 20 = 6t<BR>\n" );
document.write( "60 = 6t<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F6 ALIGN=MIDDLE  ALT=\"60%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 10 hrs for A <BR>\n" );
document.write( "1.5(10) = 15 hrs for B<BR>\n" );
document.write( "1.2(10) = 12 hrs for C<BR>\n" );
document.write( ";<BR>\n" );
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document.write( "Check solution on a calc:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F10 ALIGN=MIDDLE  ALT=\"4%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F15 ALIGN=MIDDLE  ALT=\"4%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F12 ALIGN=MIDDLE  ALT=\"4%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );