document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=581296>Question 581296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes beverly 4 hours to clean a room. If steve worked together with her it would only take 48 minutes for the room to be cleaned. How long would it take steve to clean the room by himself?\r<BR>\n" );
document.write( "\n" );
document.write( "I did:<BR>\n" );
document.write( "1/B + 1/S= 1/X<BR>\n" );
document.write( "B= beverly<BR>\n" );
document.write( "S= steve\r<BR>\n" );
document.write( "\n" );
document.write( "1/4hrs + 1/X= 1/48 min </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371554 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=371554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of time it takes Steve to clean the room working alone<BR>\n" );
document.write( "Then Steve works at the rate of 1/x room per hour\r<BR>\n" );
document.write( "\n" );
document.write( "Beverly works at the rate of 1/4 room per hour\r<BR>\n" );
document.write( "\n" );
document.write( "Beverly and Steve working together works at the rate of 1/(4/5) =5/4 room per hour (48 min=4/5 hr and we are working in hours)\r<BR>\n" );
document.write( "\n" );
document.write( "Soooo, our equation to solve is:<BR>\n" );
document.write( "(1/4)+(1/x)=5/4  multiply each term by 4x<BR>\n" );
document.write( "x+4=5x<BR>\n" );
document.write( "4x=4<BR>\n" );
document.write( "x=1 hour----amount of time it takes Steve to clean the room working alone.\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( "in 4/5 of an hour Steve cleans 4/5 th of the room<BR>\n" );
document.write( "in 4/5 of an hour Beverly cleans(1/4)(4/5) =1/5 of the room<BR>\n" );
document.write( "1/5+4/5=1 (room that is)\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );