document.write( "Question 638934: a tugboat goes 160 miles upstream in 20 hrs, the return trip downstream takes 5 hrs, what is the speed of the tug boat without the current and what is the speed of the current \n" ); document.write( "
Algebra.Com's Answer #402482 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = the speed of the boat without current
\n" ); document.write( "Let \"+c+\" = the speed of the current
\n" ); document.write( "\"+s+-+c+\" = speed going upstream
\n" ); document.write( "\"+s+%2B+c+\" = speed going downstream
\n" ); document.write( "-----------------------------
\n" ); document.write( "Going upstream:
\n" ); document.write( "(1) \"+160+=+%28+s+-+c+%29%2A20+\"
\n" ); document.write( "Going downstream:
\n" ); document.write( "(2) \"+160+=+%28+s+%2B+c+%29%2A5+\"
\n" ); document.write( "-------------------
\n" ); document.write( "(1) \"+20s+-+20c+=+160+\"
\n" ); document.write( "(1) \"+s+-+c+=+8+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+160+=+5s+%2B+5c+\"
\n" ); document.write( "(2) \"+s+%2B+c+=+32+\"
\n" ); document.write( "--------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(1) \"+s+-+c+=+8+\"
\n" ); document.write( "(2) \"+s+%2B+c+=+32+\"
\n" ); document.write( "\"+2s+=+40+\"
\n" ); document.write( "\"+s+=+20+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+s+-+c+=+8+\"
\n" ); document.write( "(1) \"+20+-+c+=+8+\"
\n" ); document.write( "(1) \"+-c+=+-12+\"
\n" ); document.write( "(1) \"+c+=+12+\"
\n" ); document.write( "The speed of the boat without current is 20 mi/hr
\n" ); document.write( "The speed of the current is 12 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+160+=+%28+20+-+12+%29%2A20+\"
\n" ); document.write( "(1) \"+160+=+8%2A20+\"
\n" ); document.write( "(1) \"+160+=+160+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+160+=+%28+20+%2B+12+%29%2A5+\"
\n" ); document.write( "(2) \"+160+=+32%2A5+\"
\n" ); document.write( "(2) \"+160+=+160+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );