document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147407>Question 147407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A fishing boat traveled 3 hours against a 6km/hr current. The Return trip took only 2 hours. Find the speed of the boat 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 #107835 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=107835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help\r<BR>\n" );
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document.write( "A fishing boat traveled 3 hours against a 6km/hr current. The Return trip took only 2 hours. Find the speed of the boat in still water.<BR>\n" );
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document.write( "Distance=(rate)(time)<BR>\n" );
document.write( "It can also be put like this.<BR>\n" );
document.write( "(rate)(time)=(rate)(time)\r<BR>\n" );
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document.write( "We already know the time 3 hours, and 2 hours<BR>\n" );
document.write( "We have to find the speed of the boat.<BR>\n" );
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document.write( "speed of the boat in still water = \"x\"<BR>\n" );
document.write( "speed of the boat against current = (x - 6)(current slows the boat's speed)<BR>\n" );
document.write( "speed of the boat with the current = (x + 6)(current speeds up the boat's speed)<BR>\n" );
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document.write( "Now we can solve \"x\"<BR>\n" );
document.write( "We know both the speed(rate) and the time.<BR>\n" );
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document.write( "(rate)(time)=(rate)(time)<BR>\n" );
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document.write( "(x - 6)(3)= (x + 6)(2)<BR>\n" );
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document.write( "3(x - 6)= 2(x + 6)<BR>\n" );
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document.write( "We will use the distributive property<BR>\n" );
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document.write( "3x - 18 = 2x + 12<BR>\n" );
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document.write( "We will subtract 2x from both sides<BR>\n" );
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document.write( "x - 18 = 0 + 12<BR>\n" );
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document.write( "Now add 18 to both sides<BR>\n" );
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document.write( "x - 0 = 18 + 12<BR>\n" );
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document.write( "x = 30<BR>\n" );
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document.write( "The fishing boat went 30 km./hr in still water<BR>\n" );
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document.write( "3(30 - 6)= 2(30 + 6)<BR>\n" );
document.write( "3(24)=2(36)<BR>\n" );
document.write( "(72)=(72)<BR>\n" );
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document.write( "It went 72 miles each way, 144 miles all together<BR>\n" );
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document.write( "Hope I helped, Levi\r<BR>\n" );
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document.write( " </SPAN>\n" );
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