document.write( "Question 766469: When a crew rows with the current, it travels 18 miles in 2 hours. Against the current, the crew rows 5/9 of the distance in 2 hours. Let x=the crew rowing rate in still water and let y=the rate of the current. Find the rate of rowing in still water and the rate of the current. \n" ); document.write( "
Algebra.Com's Answer #466928 by josmiceli(19441)\"\" \"About 
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Let \"+x+\" = rate of rowing in still water in mi/hr
\n" ); document.write( "Let \"+y+\" = rate of the current in mi/hr
\n" ); document.write( "------------------
\n" ); document.write( "Rowing with the current:
\n" ); document.write( "(1) \"+18+=+%28+x+%2B+y+%29%2A2+\"
\n" ); document.write( "Rowing against the current:
\n" ); document.write( "(2) \"+%285%2F9%29%2A18+=+%28+x+-+y+%29%2A2+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) \"+10+=+2x+-+2y+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+18+=+2x+%2B+2y+\"
\n" ); document.write( "-------------------
\n" ); document.write( "Add the equations:
\n" ); document.write( "\"+28+=+4x+\"
\n" ); document.write( "\"+x+=+7+\"
\n" ); document.write( "Plug this result into (1) or (2)
\n" ); document.write( "(2) \"+10+=+2x+-+2y+\"
\n" ); document.write( "(2) \"+5+=+x+-+y+\"
\n" ); document.write( "(2) \"+5+=+7+-+y+\"
\n" ); document.write( "(2) \"+y+=+7+-+5+\"
\n" ); document.write( "(2) \"+y+=+2+\"
\n" ); document.write( "------------
\n" ); document.write( "The rate of rowing in still water is 7 mi/hr
\n" ); document.write( "The rate of the current is 2 mi/hr
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%285%2F9%29%2A18+=+%28+7+-+2+%29%2A2+\"
\n" ); document.write( "(2) \"+10+=+5%2A2+\"
\n" ); document.write( "(2) \"+10+=+10+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+18+=+%28+7+%2B+2+%29%2A2+\"
\n" ); document.write( "(1) \"+18+=+9%2A2+\"
\n" ); document.write( "(1) \"+18+=+18+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );