document.write( "Question 29073: a boat travels 12 miles downstream in 1.5 hours. on the return trip the boat travles the same distance upstream in 2 hours. find the rate of the boat in still water and the rate of the current \n" ); document.write( "
Algebra.Com's Answer #15877 by Paul(988)\"\" \"About 
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Let the speed of the boat be x
\n" ); document.write( "Let the speed of the current be y\r
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\n" ); document.write( "\n" ); document.write( "1.5(x+y)=12---->1.5x+1.5y=12 (1)
\n" ); document.write( "solve for y in there.
\n" ); document.write( "1.5y=12-1.5x
\n" ); document.write( "y=8-x (subsitution)\r
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\n" ); document.write( "\n" ); document.write( "second equation:
\n" ); document.write( "2(x-y)=12
\n" ); document.write( "2x-2y=12
\n" ); document.write( "Subsitute for y
\n" ); document.write( "2x-2(8-x)=12
\n" ); document.write( "2x-16+2x=12
\n" ); document.write( "4x=28
\n" ); document.write( "x=7\r
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\n" ); document.write( "\n" ); document.write( "y=8-7
\n" ); document.write( "y=1\r
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\n" ); document.write( "\n" ); document.write( "Hence, the speed of the boat is 7mph and the speed of the current 1mph.
\n" ); document.write( "Paul.
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