document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266267>Question 266267</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An escalator moves up at a rate of x steps per second. Walter walks up the<BR>\n" );
document.write( "escalator at the rate of one step per second and reaches the top in twenty seconds.The next day Walter’s rate was two steps per second, and he reached the top in sixteen seconds. How many steps does the escalator have?\r<BR>\n" );
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document.write( "(A) 40 (B) 50 (C) 60<BR>\n" );
document.write( "(D) 80 (E) none of these<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 #195659 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=195659\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An escalator moves up at a rate of x steps per second. <BR>\n" );
document.write( "Walter walks up the escalator at the rate of one step per second and reaches the top in twenty seconds.<BR>\n" );
document.write( "The next day Walter’s rate was two steps per second, and he reached the top in sixteen seconds. <BR>\n" );
document.write( "How many steps does the escalator have? <BR>\n" );
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document.write( "Assume the escalator has \"s\" steps<BR>\n" );
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document.write( "The escalator rate = x steps per second<BR>\n" );
document.write( "Walter's rate = 1 step per second<BR>\n" );
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document.write( "In the 20 seconds it takes Walter from bottom to top at one step per second,<BR>\n" );
document.write( "the escalator has gone up 20x steps. Also Walter has gone up 20 steps. <BR>\n" );
document.write( "So 20x + 20 = s<BR>\n" );
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document.write( "In the 16 seconds it takes Walter from bottom to top at 2x steps per second,<BR>\n" );
document.write( "the escalator has gone up 16x steps.  Also Walter has gone up 2(16) steps.<BR>\n" );
document.write( "So 16x + 32 = s<BR>\n" );
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document.write( "Solve 20x+20 = 16x +32 for \"x\".<BR>\n" );
document.write( "4x = 12<BR>\n" );
document.write( "x = 3 steps per second<BR>\n" );
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document.write( "Then s = 20x + 20 = 20*3 +20 = 80 (# of steps is 80)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "(A) 40 (B) 50 (C) 60<BR>\n" );
document.write( "(D) 80 (E) none of these<BR>\n" );
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