document.write( "Question 976564: Peter paddled a canoe 20 miles upstream, then paddled the canoe back to the starting point. the rate of the current was 3 mph and the total trip took 7 hours. At what rate would Peter paddle the canoe in still water?\r
\n" ); document.write( "\n" ); document.write( "Please help solve.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #598135 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Peter paddled a canoe 20 miles upstream, then paddled the canoe back to the starting point. the rate of the current was 3 mph and the total trip took 7 hours. At what rate would Peter paddle the canoe in still water?
\n" ); document.write( "***
\n" ); document.write( "let x=rate in still water
\n" ); document.write( "x+3=rate of canoe downtream
\n" ); document.write( "x-3=rate of canoe uptream
\n" ); document.write( "travel time=distance/rate
\n" ); document.write( "\"20%2F%28x%2B3%29%2B20%2F%28x-3%29=7\"
\n" ); document.write( "lcd: (x+3)(x-3)
\n" ); document.write( "20(x-3)+20(x+3)=7(x+3)(x-3)
\n" ); document.write( "20x-60+20x+60=7(x^2-9)
\n" ); document.write( "40x=7x^2-63
\n" ); document.write( "7x^2-40x-63=0
\n" ); document.write( "(x-7)(7x+9)=0
\n" ); document.write( "x=-9/7(reject)
\n" ); document.write( "x=7
\n" ); document.write( "At what rate would Peter paddle the canoe in still water? 7 mph
\n" ); document.write( "
\n" );