document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132505>Question 132505</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0030700396/algebrahomeworkh>Holt Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A ship cruising on a river can travel the 135 mile distance between two cities in 15 hours when cruising against the current.  When cruising with the current, the trip takes 5 fewer hours.  Write and solve a system of equations to find the speed of the current and of the ship in still water.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96851 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ship cruising on a river can travel the 135 mile distance between two cities in 15 hours when cruising against the current. When cruising with the current, the trip takes 5 fewer hours. Write and solve a system of equations to find the speed of the current and of the ship in still water. <BR>\n" );
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document.write( "Upstream DATA:<BR>\n" );
document.write( "Distance = 135 miles ; time = 15 hrs. ; rate = 135/15 = 9 mph<BR>\n" );
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document.write( "Downstream DATA:<BR>\n" );
document.write( "Distance  = 135 miles ; time = 10 hrs. ; rate = 135/10 = 13.5 mph<BR>\n" );
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document.write( "Let current speed be \"c\"; Let boat speed be \"b\".<BR>\n" );
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document.write( "EQUATIONSL<BR>\n" );
document.write( "b+c = 13.5<BR>\n" );
document.write( "b-c = 9<BR>\n" );
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document.write( "Add to solve for \"b\":<BR>\n" );
document.write( "2b = 22.5<BR>\n" );
document.write( "b = 11.25 mph (boat speed in still water)<BR>\n" );
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document.write( "Substitute to solve for \"c\":<BR>\n" );
document.write( "11.25 + c = 13.5<BR>\n" );
document.write( "c = 2.25 mph (current speed)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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