document.write( "Question 989299: The speed of the current in a stream is 3 mi/hr. It takes a canoeist 144 minutes longer to paddle 16 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water? \n" ); document.write( "
Algebra.Com's Answer #609667 by josmiceli(19441)\"\" \"About 
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\"+3+\" mi/hr = speed of the current
\n" ); document.write( "Let \"+s+\" = the speed of the canoe in still water
\n" ); document.write( "\"+s+%2B+3+\" = the speed of th canoe going downstream
\n" ); document.write( "\"+s+-+3+\" = the speed of the canoe going upstream
\n" ); document.write( "Convert minutes to hrs:
\n" ); document.write( "\"+144%2F60+=+2.4+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "Going downstream:
\n" ); document.write( "(1) \"+16+=+%28+s%2B3+%29%2At+\"
\n" ); document.write( "Going upstream:
\n" ); document.write( "(2) \"+16+=+%28+s-3+%29%2A%28+t+%2B+2.4+%29+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) \"+t+=+16+%2F+%28+s%2B3+%29+\"
\n" ); document.write( "(2) \"+16%2F+%28+s-3+%29+=++16%2F%28+s%2B3+%29+%2B+2.4+\"
\n" ); document.write( "Multiply both sides by \"+%28+s-3+%29%2A%28+s%2B3+%29+\"
\n" ); document.write( "(2) \"+16%2A%28+s%2B3+%29+=+16%2A%28+s-3+%29+%2B+2.4%2A%28+s-3+%29%2A%28+s%2B3+%29+\"
\n" ); document.write( "(2) \"+16s+%2B+48+=+16s+-+48+%2B+2.4%2A%28+s%5E2+-+9+%29+\"
\n" ); document.write( "(2) \"+16s+%2B+48+=+16s+-+48+%2B+2.4s%5E2+-+21.6+%29+\"
\n" ); document.write( "(2) \"+48+=+2.4s%5E2+-+48+-+21.6+\"
\n" ); document.write( "(2) \"+2.4s%5E2+=+96+%2B+21.6+\"
\n" ); document.write( "(2) \"+2.4s%5E2+=+117.6+\"
\n" ); document.write( "(2) \"+s%5E2+=+49+\"
\n" ); document.write( "(2) \"+s+=+7+\"
\n" ); document.write( "The canoeist's rate in still water is 7 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+16+=+%28+s%2B3+%29%2At+\"
\n" ); document.write( "(1) \"+16+=+%28+7%2B3+%29%2At+\"
\n" ); document.write( "(1) \"+16+=+10t+\"
\n" ); document.write( "(1) \"+t+=+1.6+\" hrs
\n" ); document.write( "and
\n" ); document.write( "(2) \"+16+=+%28+s-3+%29%2A%28+t+%2B+2.4+%29+\"
\n" ); document.write( "(2) \"+16+=+%28+7-3+%29%2A%28+1.6+%2B+2.4+%29+\"
\n" ); document.write( "(2) \"+16+=+4%2A4+\"
\n" ); document.write( "(2) \"+16+=+16+\"
\n" ); document.write( "OK\r
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