document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129747>Question 1129747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The O'Connors own a small janitorial service. John requires 1/4 hour more time to clean the Moose club by himself than Chris does working by herself. If together they can clean the club in 4 &#8203;hours, find the time required by each to clean the club.\r<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 #746354 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=746354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The O'Connors own a small janitorial service.<BR>\n" );
document.write( " John requires 1/4 hour more time to clean the Moose club by himself than Chris does working by herself.<BR>\n" );
document.write( " If together they can clean the club in 4 &#8203;hours, find the time required by each to clean the club.<BR>\n" );
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document.write( "let t = time required by Chris working alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+.25) = time required by John<BR>\n" );
document.write( "the completed job = 1<BR>\n" );
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document.write( "Each will do 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=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%28%28t%2B.25%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28%28t%2B.25%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply equation by t(t+.25), cancel the denominators<BR>\n" );
document.write( "4(t+.25) + 4t = t(t+.25)<BR>\n" );
document.write( "4t + 1 + 4t = t^2 + .25t<BR>\n" );
document.write( "8t + 1 = t^2 + .25t<BR>\n" );
document.write( "arrange as a quadratic equation on the right<BR>\n" );
document.write( "0 = t^2 +.25t - 8t - 1<BR>\n" );
document.write( "t^2 - 7.75t - 1 = 0<BR>\n" );
document.write( "use the quadratic formula: a=1; b=-7.75; c=-1<BR>\n" );
document.write( "I got a positive solution of<BR>\n" );
document.write( "t = 7.877 hrs Chris alone<BR>\n" );
document.write( "and<BR>\n" );
document.write( "7.877 + .25 = 8.127 hrs John alone </SPAN>\n" );
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