document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=625311>Question 625311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The motorboat traveled 3 times as fast as the sloop.  In fact, the motorboat traveled 48 miles in 2 hours less than it took the sloop to travel 24 miles. How fast did each of them travel? What were the times of each? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #393420 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=393420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The motorboat traveled 3 times as fast as the sloop. In fact, the motorboat traveled 48 miles in 2 hours less than it took the sloop to travel 24 miles. How fast did each of them travel? What were the times of each?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=speed of sloop<BR>\n" );
document.write( "3x=speed of motorboat<BR>\n" );
document.write( "travel time=distance/speed<BR>\n" );
document.write( "..<BR>\n" );
document.write( "48/3x=24/x-2<BR>\n" );
document.write( "LCD: 3x<BR>\n" );
document.write( "48=72-6x<BR>\n" );
document.write( "6x=24<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "3x=12<BR>\n" );
document.write( "..<BR>\n" );
document.write( "48/3x=4<BR>\n" );
document.write( "24/x=6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "speed of sloop=4 mph<BR>\n" );
document.write( "speed of motorboat=12 mph<BR>\n" );
document.write( "travel time of sloop=6 hrs<BR>\n" );
document.write( "travel time of motorboat=4 hrs<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );