document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=815606>Question 815606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two scanners are used to scan a large document. \"Scanner A\" can scan the whole document in 3 hours; \"Scanner B\" is slower and can scan the same document in 5 hours. Since BOTH scanners are being used, how long will it take for the entire document to be scanned? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491128 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=491128\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> scan rate of both scanners together:<BR>\n" );
document.write( "r = a + b<BR>\n" );
document.write( "where:<BR>\n" );
document.write( "a = scan rate of fast scanner = 1/3 = 0.3333 documents/hr<BR>\n" );
document.write( "b = scan rate of slow scanner = 1/5 = 0.2 documents/hr<BR>\n" );
document.write( "---<BR>\n" );
document.write( "r = a + b<BR>\n" );
document.write( "r = 1/3 + 1/5<BR>\n" );
document.write( "r = 5/15 + 3/15<BR>\n" );
document.write( "r = 8/15<BR>\n" );
document.write( "r = 0.5333 documents/hr<BR>\n" );
document.write( "---<BR>\n" );
document.write( "scan speed of both scanners together:<BR>\n" );
document.write( "s = 1/r<BR>\n" );
document.write( "s = 1/0.5333<BR>\n" );
document.write( "s = 1.875 hr/document<BR>\n" );
document.write( "s = 1.875 hr/document * 60 min/hr = 112.5 min<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "both scanners together can scan the document in 1 hour, 52 minutes, and 30 seconds<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );