document.write( "Question 571547: it takes bob the boy scout 10 hours to paddle upstream against the current a distance of 15 miles. when he turn around he finds it only takes him 5 hours to 'paddle 22.5 miles with current. how fast is bob's boat going in still water and what is the speed of the current of the river? \n" ); document.write( "
Algebra.Com's Answer #368123 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = speed of boat in still water in mi/hr
\n" ); document.write( "Let \"+c+\" = speed of current in mi/hr
\n" ); document.write( "\"+s+-+c+\" = speed of boat going against the current in mi/hr
\n" ); document.write( "\"+s+%2B+c+\" = speed of boat going with the current in mi/hr
\n" ); document.write( "-------------
\n" ); document.write( "given:
\n" ); document.write( "Going upstream:
\n" ); document.write( "(1) \"+d%5B1%5D+=+%28+s+-+c+%29%2At%5B1%5D+\"
\n" ); document.write( "(1)\"+15+=+%28+s+-+c+%29%2A10+\"
\n" ); document.write( "Going downstream:
\n" ); document.write( "(2) \"+d%5B2%5D+=+%28+s+%2B+c+%29%2At%5B2%5D+\"
\n" ); document.write( "(2) \"+22.5+=+%28+s+%2B+c+%29%2A5+\"
\n" ); document.write( "-----------------
\n" ); document.write( "(1) \"+s++-+c+=+3%2F2+\"
\n" ); document.write( "(2) \"+s+%2B+c+=++4.5+\"
\n" ); document.write( "add the equations:
\n" ); document.write( "(2) \"+s+%2B+c+=++4.5+\"
\n" ); document.write( "(1) \"+s+-+c+=+3%2F2+\"
\n" ); document.write( "\"+2s+=+6+\"
\n" ); document.write( "\"+s+=+3+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+s++-+c+=+3%2F2+\"
\n" ); document.write( "(1) \"+3++-+c+=+3%2F2+\"
\n" ); document.write( "(1) \"+-c+=+-1.5+\"
\n" ); document.write( "(1) \"+c+=+1.5+\"
\n" ); document.write( "The speed of the boat in still water is 3 mi/hr
\n" ); document.write( "The speed of the current is 1.5 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(1)\"+15+=+%28+s+-+c+%29%2A10+\"
\n" ); document.write( "(1) \"+15+=+%28+3+-+1.5+%29%2A10+\"
\n" ); document.write( "(1) \"+15+=+1.5%2A10+\"
\n" ); document.write( "(1) \"+15+=+15+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+22.5+=+%28+s+%2B+c+%29%2A5+\"
\n" ); document.write( "(2) \"+22.5+=+%28+3+%2B+1.5+%29%2A5+\"
\n" ); document.write( "(2) \"+22.5+=+4.5%2A5+\"
\n" ); document.write( "(2) \"+22.5+=+22.5+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );