document.write( "Question 841574: Sam can row ten miles downstream in one-third the time he can row six miles upstream. If sam can row five miles per hour in still water, how fast is the current? \n" ); document.write( "
Algebra.Com's Answer #507013 by josmiceli(19441)\"\" \"About 
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Let \"+c+\" = the speed of the current in mi/hr
\n" ); document.write( "Let \"+t+\" = his time for rowing upstream in hrs
\n" ); document.write( "-------------
\n" ); document.write( "Equation for rowing upstream:
\n" ); document.write( "(1) \"+6+=+%28+5+-+c+%29%2At+\"
\n" ); document.write( "Equation for rowing downstream:
\n" ); document.write( "(2) \"+10+=+%28+5+%2B+c+%29%2A%281%2F3%29%2At+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) \"+6+=+5t+-+c%2At+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+10+=+%285%2F3%29%2At+%2B+%281%2F3%29%2Ac%2At+\"
\n" ); document.write( "(2) \"+30+=+5t+%2B+c%2At+\"
\n" ); document.write( "---------------------
\n" ); document.write( "(2) \"+c%2At+=+-5t+%2B+30+\"
\n" ); document.write( "(2) \"+c+=+%28+-5t+%2B+30+%29+%2F+t+\"
\n" ); document.write( "substitute (2) into (1)
\n" ); document.write( "(1) \"+6+=+5t+-+c%2At+\"
\n" ); document.write( "(1) \"+6+=+5t+-+%28%28+-5t+%2B+30+%29%2Ft+%29%2At+\"
\n" ); document.write( "(1) \"+6+=+5t+-+%28+-5t+%2B+30+%29+\"
\n" ); document.write( "(1) \"+6+=+5t+%2B+5t+-+30+\"
\n" ); document.write( "(1) \"+10t+=+36+\"
\n" ); document.write( "(1) \"+t+=+3.6+\" hrs
\n" ); document.write( "and
\n" ); document.write( "(1) \"+6+=+%28+5+-+c+%29%2At+\"
\n" ); document.write( "(1) \"+6+=+%28+5+-+c+%29%2A3.6+\"
\n" ); document.write( "(1) \"+5+-+c+=+5%2F3+\"
\n" ); document.write( "(1) \"+c+=+5+-+5%2F3+\"
\n" ); document.write( "(1) \"+c+=+10%2F3+\"
\n" ); document.write( "The speed of the current is 3.333 miles/hr
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+10+=+%28+5+%2B+c+%29%2A%281%2F3%29%2At+\"
\n" ); document.write( "(2) \"+10+=+%28+5+%2B+10%2F3+%29%2A%281%2F3%29%2At+\"
\n" ); document.write( "(2) \"+10+=+%28+25%2F3+%29%2A%281%2F3%29%2At+\"
\n" ); document.write( "(2) \"+25t+=+90+\"
\n" ); document.write( "(2) \"+t+=+3.6+\" hrs
\n" ); document.write( "and
\n" ); document.write( "(1) \"+6+=+%28+5+-+c+%29%2At+\"
\n" ); document.write( "(1) \"+6+=+%28+5+-+10%2F3+%29%2At+\"
\n" ); document.write( "(1) \"+6+=+%28+5%2F3+%29%2At+\"
\n" ); document.write( "(1) \"+t+=+%283%2F5%29%2A6+\"
\n" ); document.write( "(1) \"+t+=+3.6+\" hrs
\n" ); document.write( "OK\r
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