document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232419>Question 232419</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please walk me through these?\r<BR>\n" );
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document.write( "a) It takes a groundskeeper 45 minutes to prepare a softball field for a game. It takes his assistant 50 minutes to prepare the same field. How long will it take if they work together to prepare the field?<BR>\n" );
document.write( "____ minutes \r<BR>\n" );
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document.write( "b) It takes the owner/operator of a dog kennel 7 hours to clean all of the cages. It takes his assistant 4 hour(s) more than that to clean the same cages. How long will it take if they work together?<BR>\n" );
document.write( "____ hours\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "John </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171764 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=171764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) It takes a groundskeeper 45 minutes to prepare a softball field for a game. It takes his assistant 50 minutes to prepare the same field. How long will it take if they work together to prepare the field?<BR>\n" );
document.write( "____ minutes<BR>\n" );
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document.write( "grdnskeeper rate : (1/45) job per minute<BR>\n" );
document.write( "assistant rate:::: (1/50) job per minute<BR>\n" );
document.write( "together rate::::: (1/x) job per minute<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/45 + 1/50 = 1/x<BR>\n" );
document.write( "(50+45)/(45*50) = 1/x<BR>\n" );
document.write( "x = (45*50)/(45+50)<BR>\n" );
document.write( "x = 23.68 minutes (time for them to do the job together<BR>\n" );
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document.write( "b) It takes the owner/operator of a dog kennel 7 hours to clean all of the cages. It takes his assistant 4 hour(s) more than that to clean the same cages. How long will it take if they work together?<BR>\n" );
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document.write( "Same procedure:<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(1/7) + (1/11) = 1/x<BR>\n" );
document.write( "x = (7*11)/(7+11)<BR>\n" );
document.write( "x = 4.28 hrs (time for them to do the job together)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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