document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812523>Question 812523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A roofer requires 14 h to shingle a roof. After the roofer and an apprentice work on a roof for 7 h, the roofer moves on to another job. The apprentice requires 7 more hours to finish the job. How long would it take the apprentice, working alone, to do the job?<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 #489199 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=489199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate = time/job<BR>\n" );
document.write( "time = rate * job<BR>\n" );
document.write( "job = time/rate<BR>\n" );
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document.write( "r = roofer work rate<BR>\n" );
document.write( "a = apprentice work rate<BR>\n" );
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document.write( "r = 14 hr/job<BR>\n" );
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document.write( "use equation:<BR>\n" );
document.write( "job = time/rate<BR>\n" );
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document.write( "7/(r + a) + 7/a = 1 job<BR>\n" );
document.write( "7/(14 + a) + 7/a = 1 job<BR>\n" );
document.write( "7a/(a(14 + a)) + 7(14 + a)/(a(14 + a)) = 1 job<BR>\n" );
document.write( "7a/(aa + 14a) + 7(14 + a)/(aa + 14a) = 1 job<BR>\n" );
document.write( "7a/(aa + 14a) + (7a + 98)/(aa + 14a) = 1 job<BR>\n" );
document.write( "(14a + 98)/(aa + 14a) = 1 job<BR>\n" );
document.write( "14a + 98 = aa + 14a<BR>\n" );
document.write( "14a + 98 = aa + 14a<BR>\n" );
document.write( "aa = 98<BR>\n" );
document.write( "a = sqrt(98)<BR>\n" );
document.write( "a ~= 9.8995 hr/job<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
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document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
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document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
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