document.write( "Question 703538: Paddling with current a canoeist can travel 48km in 3h. against the current the canoeist takes 4 h ti travel the same distance. find the rate of the canoeist in still water and the rate of the current. Please help thank you
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Algebra.Com's Answer #433551 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = the rate of the canoe in still water in km/hr
\n" ); document.write( "Let \"+c+\" = the rate of the current in km/hr
\n" ); document.write( "\"+s+%2B+c+\" = the canoe's rate going with the current in km/hr
\n" ); document.write( "\"+s+-+c+\" = the canoe's rate going against the current in km/hr
\n" ); document.write( "----------------
\n" ); document.write( "Going with the current:
\n" ); document.write( "(1) \"+48+=+%28+s+%2B+c+%29%2A3+\"
\n" ); document.write( "Going against the current:
\n" ); document.write( "(2) \"+48+=+%28+s+-+c+%29%2A4+\"
\n" ); document.write( "----------------------
\n" ); document.write( "(1) \"+3s+%2B+3c+=+48+\"
\n" ); document.write( "(1) \"+s+%2B+c+=+16+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+4s+-+4c+=+48+\"
\n" ); document.write( "(2) \"+s+-+c+=+12+\"
\n" ); document.write( "----------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(1) \"+s+%2B+c+=+16+\"
\n" ); document.write( "(2) \"+s+-+c+=+12+\"
\n" ); document.write( "\"+2s+=+28+\"
\n" ); document.write( "\"+s+=+14+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+s+-+c+=+12+\"
\n" ); document.write( "(2) \"+14+-+c+=+12+\"
\n" ); document.write( "(2) \"+c+=+2+\"
\n" ); document.write( "The rate of the canoeist in still water is 14 km/hr
\n" ); document.write( "The rate of the current is 2 km/hr
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"+48+=+%28+s+%2B+c+%29%2A3+\"
\n" ); document.write( "(1) \"+48+=+%28+14+%2B+2+%29%2A3+\"
\n" ); document.write( "(1) \"+48+=+16%2A3+\"
\n" ); document.write( "(1) \"+48+=+48+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+48+=+%28+s+-+c+%29%2A4+\"
\n" ); document.write( "(2) \"+48+=+%28+14+-+2+%29%2A4+\"
\n" ); document.write( "(2) \"+48+=+12%2A4+\"
\n" ); document.write( "(2) \"+48+=+48+\"
\n" ); document.write( "OK
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