document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152836>Question 152836</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321131940/algebrahomeworkh>basic technical mathematics with calculus</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A satellite is to be launched from a space shuttle.  It is calculated that the satelite's speed will be 24,200 km/h if launched directly ahead of the shuttle or 21,400 km/h if launched directly to the rear of the shuttle.  What is the speed of the shuttle and the launching speed of the satellite relative to the shuttle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112546 by </B><A HREF=/tutors/aboutme.mpl?userid=orca><B>orca(409)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=orca><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=112546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the speed of the shuttle.<BR>\n" );
document.write( "Let y be the satellite's launching speed relative to the shuttle.<BR>\n" );
document.write( "So if launched ahead of the shuttle the satellite's speed is x + y.<BR>\n" );
document.write( "if launched to the rear of the shuttle the satellite's speed is x - y.<BR>\n" );
document.write( "Thus according to the given information:<BR>\n" );
document.write( "x + y = 24,200 ...........(1)<BR>\n" );
document.write( "x - y = 21,400 ...........(2)<BR>\n" );
document.write( "Adding (1) and (2) together, we have<BR>\n" );
document.write( "x + y + x - y = 24,200 + 21,400<BR>\n" );
document.write( "2x = 45,600<BR>\n" );
document.write( "x = 22,800<BR>\n" );
document.write( "Substituting x = 22,800 into equation (1), we have<BR>\n" );
document.write( "22,800 + y = 24,200<BR>\n" );
document.write( "Solving for y,we obtain<BR>\n" );
document.write( "y = 24,200 - 22,800 = 1,400<BR>\n" );
document.write( "Therefore the speed of the shuttle is 22,800 km/h, and the satellite's launching speed relative to the shuttle is 1,400 km/h\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );