document.write( "Question 147599This question is from textbook
\n" ); document.write( ": This word problem needs to be solved using a rational expression, thank in advance for the help. The current of a river is 2 miles per hour. A boat travels to a point 8 mile upstream and back again in 3 hours. What is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #107980 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
let x=speed of boat\r
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\n" ); document.write( "\n" ); document.write( "d=rt __ t=d/r __ total time = time upstream + time downstream\r
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\n" ); document.write( "\n" ); document.write( "3=[8/(x+2)]+[8/(x-2)] __ multiplying by (x+2)(x-2) __ 3x^2-12=16x\r
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\n" ); document.write( "\n" ); document.write( "3x^2-16x-12=0 __ factoring __ (3x+2)(x-6)=0\r
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\n" ); document.write( "\n" ); document.write( "3x+2=0 __ subtracting 2 __ 3x=-2 __ dividing by 3 __ x=-2/3 __ negative value not realistic\r
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\n" ); document.write( "\n" ); document.write( "x-6=0 __ adding 6 __ x=6
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