document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255439>Question 255439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Brett usually takes 50 min. to groom the horses.  After working 10 min., he was joined by Angela and they finished the grooming in 15 min. How long would it have taken Angela working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187692 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Brett usually takes 50 min. to groom the horses. After working 10 min., he was joined by Angela and they finished the grooming in 15 min. How long would it have taken Angela working alone?<BR>\n" );
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document.write( "Brett DATA:<BR>\n" );
document.write( "time = 50 min/job ; rate = 1/50 job/min<BR>\n" );
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document.write( "Angela DATA<BR>\n" );
document.write( "time = x min/job ; rate = 1/x job/min<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Note: together rate = 1/50 + 1/x = (x+50)/50x job/min<BR>\n" );
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document.write( "Brett work alone + together work = 1 job done<BR>\n" );
document.write( "(1/50)(10) + [(x+50)/50x](15) = 1<BR>\n" );
document.write( "(1/5) + (15x + 750)/50x = 1<BR>\n" );
document.write( "(15x + 750)/50x = 4/5<BR>\n" );
document.write( "(15x+750)/10x = 4<BR>\n" );
document.write( "40x = 15x+750<BR>\n" );
document.write( "25x = 750<BR>\n" );
document.write( "x = 30 minutes (amount of time Angela would require to do the job alone)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );