document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076672>Question 1076672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jim paints a house in half an hour. Jane paints a house in 1/5 of an hour. If Jim works for 10 minutes and then Jane joins him, how long will it take them to complete 1 whole house together?\r<BR>\n" );
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document.write( "I'm not sure if I'm doing this correctly, please help!\r<BR>\n" );
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document.write( "I set up the problem to first figure out how much work Jim has done prior to Jill joining.\r<BR>\n" );
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document.write( "Jim paints a house in a half hour or 1/30\r<BR>\n" );
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document.write( "He works for 10 minutes\r<BR>\n" );
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document.write( "Jim 1/30 *10 = .3\r<BR>\n" );
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document.write( "Now work total is 1, thus we take 1-.3 = .70 work left\r<BR>\n" );
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document.write( "Jane now joins who paints at 1/5 of an hour (1/5 an hour being 12 minutes)\r<BR>\n" );
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document.write( "1/30 + 1/12 = .70t<BR>\n" );
document.write( "=2/60 + 5/60 = .70t<BR>\n" );
document.write( "=7/60 =.70/t<BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "=7t=42<BR>\n" );
document.write( "42/6<BR>\n" );
document.write( "t=6\r<BR>\n" );
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document.write( "They finish the house Together in 6 minutes?\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 #691308 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=691308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> m paints a house in half an hour. Jane paints a house in 1/5 of an hour. If Jim works for 10 minutes and then Jane joins him, how long will it take them to complete 1 whole house together? <BR>\n" );
document.write( "I'm not sure if I'm doing this correctly, please help! <BR>\n" );
document.write( "I set up the problem to first figure out how much work Jim has done prior to Jill joining. <BR>\n" );
document.write( "Jim paints a house in a half hour :: rate = 1/30 job/min<BR>\n" );
document.write( "He works for 10 minutes <BR>\n" );
document.write( "Jim 1/30 *10 =  1/3 job<BR>\n" );
document.write( "Now work total is 1, thus we take 1-.3 = 2/3 job left <BR>\n" );
document.write( "Jane now joins who paints at rate of 1/5 job/hr (1/5 an hour being 12 minutes) <BR>\n" );
document.write( "t(1/30 + 1/12) = 2/3 job<BR>\n" );
document.write( "t((12+30)/(12*30)) = 2/3<BR>\n" );
document.write( "t(42/360) = 2/3<BR>\n" );
document.write( "t = (360/42)(2/3) = 120/21 = 5.71 min =  5 min 42 sec<BR>\n" );
document.write( "t is time to finish the job together.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------\r<BR>\n" );
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