document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=403749>Question 403749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From a point on a river, two boats are driven in opposite directions, one at 8 mph and the other at 11mph.  In how many hours will they be 57 miles apart? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285480 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=285480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From a point on a river, two boats are driven in opposite directions, one at 8 mph and the other at 11mph.  In how many hours will they be 57 miles apart?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Distance%2FSpeed ALIGN=MIDDLE  ALT=\"Distance%2FSpeed\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Time\r<BR>\n" );
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document.write( "Distance = 57 miles. In this case, we can easily add the speeds to get a total speed of 19 (8 + 11) mph\r<BR>\n" );
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document.write( "We therefore have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=57%2F19 ALIGN=MIDDLE  ALT=\"57%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283%29 ALIGN=MIDDLE  ALT=\"highlight_green%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours\r<BR>\n" );
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document.write( "We also could have solved by adding the distances traveled by both vehicles and solving\r<BR>\n" );
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document.write( "In other words, Distance traveled by slower vehicle + distance taveled by faster vehicle = 57 miles\r<BR>\n" );
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document.write( "Let the time it takes the vehicles to cover their respective distances be T\r<BR>\n" );
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document.write( "Distance traveled by slower vehicle = 8T\r<BR>\n" );
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document.write( "Distance taveled by faster vehicle = 11T\r<BR>\n" );
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document.write( "As mentioned before, distance traveled by slower vehicle + distance taveled by faster vehicle = 57 miles\r<BR>\n" );
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document.write( "8T + 11T = 57\r<BR>\n" );
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document.write( "19T = 57\r<BR>\n" );
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document.write( "T, or time taken = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=57%2F19 ALIGN=MIDDLE  ALT=\"57%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283%29 ALIGN=MIDDLE  ALT=\"highlight_green%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours. </SPAN>\n" );
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