document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95954>Question 95954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sally had a doctor's appt. at 10am and decided she would take the bus.  It took her 10 min. to get to her appt. riding the bus.  She decided that she would jog hom (by the same route) after the appt.  Jogging home took her 48 min.  The bus traveled 25 min. mph faster going to the appt. than Sally did jogging home.  Find the speed of the bus and Sally's jogging speed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69901 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=69901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sally had a doctor's appt. at 10am and decided she would take the bus. It took her 10 min. to get to her appt. riding the bus. She decided that she would jog hom (by the same route) after the appt. Jogging home took her 48 min. The bus traveled 25 min. mph faster going to the appt. than Sally did jogging home. Find the speed of the bus and Sally's jogging speed.<BR>\n" );
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document.write( "Change 10 min to hrs: 10/60 = 1/6 hr<BR>\n" );
document.write( "Change 48 min to hrs: 48/60 = 4/5 hr<BR>\n" );
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document.write( "Let x = S's jogging speed<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "(x+25) = Bus speed<BR>\n" );
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document.write( "We know jogging dist and bus distance are the same. Write and equation from this fact:<BR>\n" );
document.write( "Dist = time * speed<BR>\n" );
document.write( "Bus dist = jog dist<BR>\n" );
document.write( "<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;\" >(x+25) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B25%29%29%2F6 ALIGN=MIDDLE  ALT=\"%28%28x%2B25%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%2F5 ALIGN=MIDDLE  ALT=\"%284x%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cross multiply:  <BR>\n" );
document.write( "6(4x) = 5(x+25)<BR>\n" );
document.write( "24x = 5x + 125<BR>\n" );
document.write( "25x - 5x = 125<BR>\n" );
document.write( "19x = 125<BR>\n" );
document.write( "x = 125/19<BR>\n" );
document.write( "x = 6.579 mph is her jogging speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "6.579 + 25 = 31.579 mph is the bus speed<BR>\n" );
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document.write( "Check solution by finding if, indeed, the distances are equal:<BR>\n" );
document.write( "Using decimals 1/6 = .167 and 4/5 = .8<BR>\n" );
document.write( ".167 * 31.579 = 5.27 mi<BR>\n" );
document.write( ".8 * 6.579 = 5.26 mi, close enough<BR>\n" );
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document.write( "Did this help, was it understandable?\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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