document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=901184>Question 901184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 101 minutes. Billy could mow the lawn by himself in 15 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #546552 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=546552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 101 minutes. Billy could mow the lawn by himself in 15 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself?<BR>\n" );
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document.write( "Together rate:: 1/101 job/min<BR>\n" );
document.write( "Bobby rate:: 1/x job/min<BR>\n" );
document.write( "Billy rate:: 1/(x-15) job/min<BR>\n" );
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document.write( "Eqution:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "1/x + 1/(x-15) = 1/101<BR>\n" );
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document.write( "101(x-15) + 101x = x(x-15)<BR>\n" );
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document.write( "101x - 101*15 + 101x = x^2 -15x<BR>\n" );
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document.write( "x^2 - 15x - 202x + 101*15 = 0<BR>\n" );
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document.write( "x^2 -217x + 101*15 = 0<BR>\n" );
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document.write( "Ans: x = 209.77 min (Bobby's time alone)<BR>\n" );
document.write( "x-15 = 194.77 min (Billy's time alone)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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