document.write( "Question 1046114: Heather's boat has a top speed of
\n" ); document.write( "6
\n" ); document.write( " miles per hour in still water. While traveling on a river at top speed, she went
\n" ); document.write( "10
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\n" ); document.write( "30
\n" ); document.write( " miles downstream. Find the rate of the river current.
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Algebra.Com's Answer #661623 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+c+\" = the speed of the curent in mi/hr
\n" ); document.write( "\"+6+-+c+\" = her speed going upstream
\n" ); document.write( "\"+6+%2B+c+\" = her speed going downstream
\n" ); document.write( "Let \"+t+\" = her time in hrs for both trips
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\n" ); document.write( "Going upstream:
\n" ); document.write( "(1) \"+10+=+%28+6-c+%29%2At+\"
\n" ); document.write( "Going downstream:
\n" ); document.write( "(2) \"+30+=+%28+6%2Bc+%29%2At+\"
\n" ); document.write( "---------------------
\n" ); document.write( "(1) \"+t+=+10%2F%28+6-c+%29+\"
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+30+=+%28+6%2Bc+%29%2A%28+10+%2F+%28+6+-+c+%29+%29+\"
\n" ); document.write( "(2) \"+30%2A%28+6-c+%29+=+10%2A%28+6+%2B+c+%29+\"
\n" ); document.write( "(2) \"+180+-+30c+=+60+%2B+10c+\"
\n" ); document.write( "(2) \"+40c+=+120+\"
\n" ); document.write( "(2) \"+c+=+3+\"
\n" ); document.write( "The rate of the current is 3 mi/hr
\n" ); document.write( "----------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+10+=+%28+6-c+%29%2At+\"
\n" ); document.write( "(1) \"+10+=+%28+6-3+%29%2At+\"
\n" ); document.write( "(1) \"+10+=+3t+\"
\n" ); document.write( "(1) \"+t+=+10%2F3+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+30+=+%28+6%2Bc+%29%2At+\"
\n" ); document.write( "(2) \"+30+=+%28+6%2B3+%29%2At+\"
\n" ); document.write( "(2) \"+30+=+9t+\"
\n" ); document.write( "(2) \"+t+=+10%2F3+\"
\n" ); document.write( "OK
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