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 #195663 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195663\">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( "Write a distance equation: Dist = time * rate<BR>\n" );
document.write( "Find x<BR>\n" );
document.write( "1st day dist = 2nd day dist<BR>\n" );
document.write( "20(x + 1) = 16(x + 2)<BR>\n" );
document.write( "20x + 20 = 16x + 32<BR>\n" );
document.write( "20x - 16x = 32 - 20<BR>\n" );
document.write( "4x = 12<BR>\n" );
document.write( "x = 3 steps/sec is the escalator rate<BR>\n" );
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document.write( "Find the no. of steps using the 1st day expression<BR>\n" );
document.write( "20(3+1) = 80 steps<BR>\n" );
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document.write( "check it in the 2nd day expression<BR>\n" );
document.write( "16(3+2) = 80 steps also <BR>\n" );
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document.write( "Did this make sense to you?<BR>\n" );
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