document.write( "Question 319437: In still water a tugboat can travel 15 miles per hour. It travels 36 miles upstream and then 36 miles downstream in a total time of 5 hours. Find the speed of the current. \n" ); document.write( "
Algebra.Com's Answer #228740 by josmiceli(19441)\"\" \"About 
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Let \"c\" = speed of current
\n" ); document.write( "\"15+-+c\" = speed going upstream
\n" ); document.write( "\"15+%2B+c\" = speed going downstream
\n" ); document.write( "(1)\"36+=+%2815+-+c%29%2At%5Bu%5D\"
\n" ); document.write( "(2) \"36+=+%2815+%2B+c%29%2At%5Bd%5D\"
\n" ); document.write( "(3) \"t%5Bu%5D+%2B+t%5Bd%5D+=+5\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(1)\"36+=+%2815+-+c%29%2At%5Bu%5D\"
\n" ); document.write( "\"t%5Bu%5D+=+36%2F%2815+-+c%29\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"36+=+%2815+%2B+c%29%2At%5Bd%5D\"
\n" ); document.write( "\"t%5Bd%5D+=+36%2F%2815+%2B+c%29\"
\n" ); document.write( "Adding:
\n" ); document.write( "\"t%5Bu%5D+%2B+t%5Bd%5D+=+36%2A%281%2F%2815+-+c%29+%2B+1%2F%2815+%2B+c%29%29\"
\n" ); document.write( "\"5+=+36%2A%281%2F%2815+-+c%29+%2B+1%2F%2815+%2B+c%29%29\"
\n" ); document.write( "Multiply both sides by \"%2815+-+c%29%2815+%2B+c%29\"
\n" ); document.write( "\"5%2A%28225+-+c%5E2%29+=+36%2A%2815+%2B+c+%2B+15+-+c%29\"
\n" ); document.write( "\"1125+-+5c%5E2+=+36%2A30\"
\n" ); document.write( "\"5c%5E2+=+1125+-+1080\"
\n" ); document.write( "\"5c%5E2+=+45\"
\n" ); document.write( "\"c%5E2+=+9\"
\n" ); document.write( "\"c+=+3\"
\n" ); document.write( "The current is 3 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "\"t%5Bu%5D+%2B+t%5Bd%5D+=+36%2A%281%2F%2815+-+c%29+%2B+1%2F%2815+%2B+c%29%29\"
\n" ); document.write( "\"t%5Bu%5D+%2B+t%5Bd%5D+=+36%2A%281%2F%2815+-+3%29+%2B+1%2F%2815+%2B+3%29%29\"
\n" ); document.write( "\"t%5Bu%5D+%2B+t%5Bd%5D+=+36%2A%281%2F12+%2B+1%2F18%29\"
\n" ); document.write( "\"t%5Bu%5D+%2B+t%5Bd%5D+=+36%2F12+%2B+36%2F18\"
\n" ); document.write( "\"t%5Bu%5D+%2B+t%5Bd%5D+=+3+%2B+2\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );