document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628378>Question 628378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Stephanie and her friend, Paula, are waiting for a shuttle to take them to their terminal at the airport. The first shuttle that arrives only has room for one more passenger, so Stephanie gets on. The next shuttle arrives 10 minutes later and Paula gets on. If Stephanie's shuttle travels at a speed of 26 mph and Paula's shuttle travels at a speed of 32 mph, how long will it take Paula's shuttle to catch up to Stephanie's shuttle?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395621 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=395621\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Stephanie and her friend, Paula, are waiting for a shuttle to take them to<BR>\n" );
document.write( " their terminal at the airport.<BR>\n" );
document.write( " The first shuttle that arrives only has room for one more passenger, so<BR>\n" );
document.write( " Stephanie gets on. <BR>\n" );
document.write( "The next shuttle arrives 10 minutes later and Paula gets on.<BR>\n" );
document.write( " If Stephanie's shuttle travels at a speed of 26 mph and Paula's shuttle<BR>\n" );
document.write( " travels at a speed of 32 mph, how long will it take Paula's shuttle to<BR>\n" );
document.write( " catch up to Stephanie's shuttle?<BR>\n" );
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document.write( "Change 10 min to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
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document.write( "Let t = travel time of the 2nd shuttle to catch the first<BR>\n" );
document.write( "Let (t+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = travel time of the 1st shuttle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "When the 2nd catches the 1st, they will have traveled the same distance<BR>\n" );
document.write( "Write a distance equation: dist = speed * time<BR>\n" );
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document.write( "32t = 26(t+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "32t = 26t + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F6 ALIGN=MIDDLE  ALT=\"26%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "32t - 26t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F6 ALIGN=MIDDLE  ALT=\"26%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "6t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F6 ALIGN=MIDDLE  ALT=\"26%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by 6 to get rid of the fraction<BR>\n" );
document.write( "6(6t) = 26<BR>\n" );
document.write( "36t = 26<BR>\n" );
document.write( "t = 26/36<BR>\n" );
document.write( "t = 13/18 * 60 = 43<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > min to catch the 1st shuttle  </SPAN>\n" );
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