document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136194>Question 136194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Two airplanes leave Chicago at the same time and fly in opposite dirrections.  If one travels at 450 miles per hour and the other at 550 miles per hour, how long will it take for them to be 4000 miles apart?  (Solve in algebraic equations)\r<BR>\n" );
document.write( "\n" );
document.write( "2.Bret started on a 70 mile bicycle ride at 20 miles per hour. After a time he became a little tired and slowed down to 12 miles per hour for the rest of the trip.  The entire trip of 70 miles took 4 1/2 hours. How far had Bret ridden when he reduced his speed to 12 miles per hour?\r<BR>\n" );
document.write( "\n" );
document.write( "3. Suppose that you have a supply of a 30% solution of alcohol and a 70% solution of alcohol. how many quarts of each should be mixed to produce 20 quarts that is 40% alcohol? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99837 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=99837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm going to give you the equation for each problem<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1.Two airplanes leave Chicago at the same time and fly in opposite directions. If one travels at 450 miles per hour and the other at 550 miles per hour, how long will it take for them to be 4000 miles apart? (Solve in algebraic equations)<BR>\n" );
document.write( "t = time (in hrs) for them to be 4000 mi<BR>\n" );
document.write( "450t + 550t = 4000<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2.Bret started on a 70 mile bicycle ride at 20 miles per hour. After a time he became a little tired and slowed down to 12 miles per hour for the rest of the trip. The entire trip of 70 miles took 4 1/2 hours. How far had Bret ridden when he reduced his speed to 12 miles per hour?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "d = distance ridden at 20 mph<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(70-d) = distance ridden at 12 mph<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F20 ALIGN=MIDDLE  ALT=\"d%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2870-d%29%29%2F12 ALIGN=MIDDLE  ALT=\"%28%2870-d%29%29%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4.5<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3. Suppose that you have a supply of a 30% solution of alcohol and a 70% solution of alcohol. how many quarts of each should be mixed to produce 20 quarts that is 40% alcohol?<BR>\n" );
document.write( ";<BR>\n" );
document.write( "let x = amt of 70% alcohol<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(20-x) = amt of 30% alcohol<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".70x + .30(20-x) = .40(20)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );