document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=357289>Question 357289</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help in these two questions<BR>\n" );
document.write( "I also want the working out steps\r<BR>\n" );
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document.write( "1) Normally I drive to work at 60km/h. If I drive at 72km/h I cut 8 minutes off my time for the trip. What distance do I travel?<BR>\n" );
document.write( "2) My moto boat normally travels at 24km/h in still water. One day I travelled 36 km against a constant current in a river. if i had travelled with the current, I would have travelled 48km in the same time. How fast was the current?\r<BR>\n" );
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document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #255223 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=255223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Normally I drive to work at 60km/h. <BR>\n" );
document.write( "If I drive at 72km/h I cut 8 minutes off my time for the trip.<BR>\n" );
document.write( " What distance do I travel?<BR>\n" );
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document.write( "Let d = his travel distance<BR>\n" );
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document.write( "Change min to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F60 ALIGN=MIDDLE  ALT=\"8%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
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document.write( "Write a time equation; time = dist/speed<BR>\n" );
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document.write( "60km time - 8 min = 72km time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F60 ALIGN=MIDDLE  ALT=\"d%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F60 ALIGN=MIDDLE  ALT=\"8%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F72 ALIGN=MIDDLE  ALT=\"d%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by 720 to get rid of the denominators, results:<BR>\n" );
document.write( "12d - 12(8) = 10d<BR>\n" );
document.write( "12d - 96 = 10d<BR>\n" );
document.write( "12d - 10d = 96<BR>\n" );
document.write( "2d = 96<BR>\n" );
document.write( "d - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96%2F2 ALIGN=MIDDLE  ALT=\"96%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 48 km distance traveled<BR>\n" );
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document.write( "Check this by finding the actual times<BR>\n" );
document.write( "48/60 = .8 hrs<BR>\n" );
document.write( "48/72 = .67 hrs<BR>\n" );
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document.write( "differ: .13 hrs which is 8 min<BR>\n" );
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document.write( "2) My motor boat normally travels at 24km/h in still water.<BR>\n" );
document.write( " One day I traveled 36 km against a constant current in a river.<BR>\n" );
document.write( " if i had travelled with the current, I would have traveled 48km in the same time.<BR>\n" );
document.write( " How fast was the current?<BR>\n" );
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document.write( "Let c = the rate of the current<BR>\n" );
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document.write( "Write a time equation, Time = dist/speed<BR>\n" );
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document.write( "Against time = with time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F%28%2824-c%29%29 ALIGN=MIDDLE  ALT=\"36%2F%28%2824-c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F%28%2824%2Bc%29%29 ALIGN=MIDDLE  ALT=\"48%2F%28%2824%2Bc%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "36(24+c) = 48(24-c)<BR>\n" );
document.write( "864 + 36c = 1152 - 48c<BR>\n" );
document.write( "36c + 48c = 1152 - 864<BR>\n" );
document.write( "84c = 288<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=288%2F84 ALIGN=MIDDLE  ALT=\"288%2F84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 3.43 km/h is the current<BR>\n" );
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document.write( "Confirm this, find the times<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F%28%2824-3.43%29%29 ALIGN=MIDDLE  ALT=\"36%2F%28%2824-3.43%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.75 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F%28%2824%2B3.43%29%29 ALIGN=MIDDLE  ALT=\"48%2F%28%2824%2B3.43%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.75 hrs </SPAN>\n" );
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