document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=480481>Question 480481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Abraham Read the Book component of 480 pages in a certain period by reading the same number of pages per day. But he was able to finish reading the book before 5 days from the same period if the 16-page read more on a daily basis. How was completed by the specified period in which Abraham read the book?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329054 by </B><A HREF=/tutors/aboutme.mpl?userid=mathstutor494><B>mathstutor494(120)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathstutor494><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=mathstutor494><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=329054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let Abraham reading speed be x pages per day\r<BR>\n" );
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document.write( "So time taken to read 480 pages = 480/x days\r<BR>\n" );
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document.write( "No of days required to read 480 pages when 16-page read more on a daily basis= 480/(x+16)\r<BR>\n" );
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document.write( "Further it is given that he was able to finish reading the book before 5 days from the same period, hence<BR>\n" );
document.write( "(480/x)- {480/(x+16)} = 5\r<BR>\n" );
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document.write( "Simplifying above eqn leads to<BR>\n" );
document.write( "x^2+16x-1536=0<BR>\n" );
document.write( "x^2+48x-32x-1536=0<BR>\n" );
document.write( "x(x+48)-32(x+48)=0<BR>\n" );
document.write( "(x+48)(x-32)=0<BR>\n" );
document.write( "So x = 32 or -48\r<BR>\n" );
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document.write( "-48 is not a valid answer\r<BR>\n" );
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document.write( "So the correct answer is : reading speed was 32 pages per day which took 15 days to read 480 pages. After increasing speed by 16 pages new speed became 32+16 = 48 pages per day which took 480/48 = 10 days thus he was able to finish reading the book before 5 days from the same period.<BR>\n" );
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