document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885105>Question 885105</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if 2 people work at washing 5 cars and one can do all 5 on their own in 36 minutes and the other can do all 5 on their own in 42 minutes, how long does it take to wash all 5 working together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #534923 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=534923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  if 2 people work at washing 5 cars and one can do all 5 on their own in 36 minutes and the other can do all 5 on their own in 42 minutes, how long does it take to wash all 5 working together?<BR>\n" );
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document.write( "Let t = time required when both together<BR>\n" );
document.write( "Let the completed job = 1 (the washing of 5 cars)<BR>\n" );
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document.write( "Each will to a fraction of the job, the two fractions add up to 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F36 ALIGN=MIDDLE  ALT=\"t%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F42 ALIGN=MIDDLE  ALT=\"t%2F42\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by the least common multiple of 36 & 42: 252<BR>\n" );
document.write( "252*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F36 ALIGN=MIDDLE  ALT=\"t%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 252*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F42 ALIGN=MIDDLE  ALT=\"t%2F42\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 252<BR>\n" );
document.write( "Cancel the denominators and you have:<BR>\n" );
document.write( "7t + 6t = 252<BR>\n" );
document.write( "13t = 252<BR>\n" );
document.write( "t = 252/13<BR>\n" );
document.write( "t = 19.4 minutes working together<BR>\n" );
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