document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121087>Question 1121087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> priya climbs up 5 stairs every second and then climbs down 2 stairs over the next second how many second will she take to climb 60 Stairs </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736842 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=736842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> she climbs up 5 stairs the first second and climbs down 2 stairs the next second.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in two seconds, she has climbed up at a net rate of 3 stairs every 2 second interval.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "60 stairs divided by 3 is equal to 20 intervals of 2 seconds each, 40 seconds total.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "it's tempting to say that it would take her 40 seconds to climb 60 stairs, but this is not the case.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "it actually takes her less seconds, because once she reaches 60 stairs she stops and then doesn't climb back down again.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if we back off 6 seconds, we might be able to find the stopping point when she reaches the 60 stairs.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "at the end of 34 seconds, she has climbed up 17 * 5 and climbed down 17 * 2 for a net gain of 17*5 - 17*2 = 51 stairs.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in the 35th second she climbs up another 5 to get to 56<BR>\n" );
document.write( "in the 36th second she climbs down another 2 to get to 54.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in the 37th second she climbs up another 5 to get to 59.<BR>\n" );
document.write( "in the 38th second she climbs down another 2 to get to 57.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in the 39th second, she climbs up another 5 to get to 62.<BR>\n" );
document.write( "she stops because she's already climbed up 60 stairs.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "it took her 39 seconds to climb 60 stairs.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's what the progression looks like second by second.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/080902.jpg\" alt=\"$$$\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/080903.jpg\" alt=\"$$$\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );