document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=634178>Question 634178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am doing a review for my nursing students at the college where I teach. I am having trouble showing them the steps to solve a problem like below.\r<BR>\n" );
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document.write( "Tim paints a room in 2.5 hours. Bob paints a room the same size in 5 hours. How long would it take them if they painted the room together? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #399403 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=399403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tim paints a room in 2.5 hours. Bob paints a room the same size in 5 hours. How long would it take them if they painted the room together?<BR>\n" );
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document.write( "Tim time: 2.5 hrs/job ; rate = 1/2.5 job/hr<BR>\n" );
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document.write( "Bob time: 5 hrs/job ; rate = 1/5 job/hr<BR>\n" );
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document.write( "Together time: x hrs/job ; rate = 1/x job/hr<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/2.5 + 1/5 = 1/x<BR>\n" );
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document.write( "1/(5/2) + 1/5 = 1/x<BR>\n" );
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document.write( "(2/5) + 1/5 = 1/x<BR>\n" );
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document.write( "3/5 = 1/x<BR>\n" );
document.write( "x = 5/3  = 1 2/3 = 1 hr 40 minutes (time to do the job together)<BR>\n" );
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document.write( "Comment: Post your problem again and you will probably see  a different<BR>\n" );
document.write( "method for this type of problem.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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