document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194355>Question 1194355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man traveled a distance of 960 kilometers by ship to an island. He returned by plane. The rate of the plane was 20 times the rate of the ship. He spent 42 hours on the trip. Find the rate of the ship and the rate if the plane. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826532 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=826532\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man traveled a distance of 960 kilometers by ship to an island.<BR>\n" );
document.write( " He returned by plane.<BR>\n" );
document.write( " The rate of the plane was 20 times the rate of the ship.<BR>\n" );
document.write( " He spent 42 hours on the trip.<BR>\n" );
document.write( " Find the rate of the ship and the rate of the plane.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = the rate of the ship<BR>\n" );
document.write( "the plane is 20 times faster, therefore<BR>\n" );
document.write( "20s = the rate of the plane<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation, time = dist/speed<BR>\n" );
document.write( "Ship time + Plane time = 42 hrs <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=960%2Fs ALIGN=MIDDLE  ALT=\"960%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=960%2F%2820s%29 ALIGN=MIDDLE  ALT=\"960%2F%2820s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 42<BR>\n" );
document.write( "Multiply eq by 20s, cancel the denominators and you have<BR>\n" );
document.write( "20(960) + 960 = 20s * 42<BR>\n" );
document.write( "19200 + 960 = 840s<BR>\n" );
document.write( "20160 = 840s<BR>\n" );
document.write( "20160/840 = s<BR>\n" );
document.write( " s = 24 km/hr is the rate of the ship<BR>\n" );
document.write( "therefore:<BR>\n" );
document.write( "20 * 24 = 480 km/hr is the rate of the plane<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this by finding the time each way<BR>\n" );
document.write( "960/24 = 40 hrs<BR>\n" );
document.write( "960/480 = 2 hrs<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "total time: 42 hrs<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );