document.write( "Question 813203: Ian paddled a canoe 7 miles upstream in a river that has a current of 4 mph. He then turned around and paddled downstream until he reached his original starting place. If the entire trip took him 6 hours, how fast would Ian paddle in still water? \n" ); document.write( "
Algebra.Com's Answer #489522 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Ian paddled a canoe 7 miles upstream in a river that has a current of 4 mph. He then turned around and paddled downstream until he reached his original starting place. If the entire trip took him 6 hours, how fast would Ian paddle in still water?
\n" ); document.write( "---------------
\n" ); document.write( "Upstream DATA:
\n" ); document.write( "distance = 7 miles ; rate = b-4 mph ; time = d/r = 7/(b-4) hrs
\n" ); document.write( "-------------------
\n" ); document.write( "Downstream DATA:
\n" ); document.write( "distance = 7 miles ; rate = b+4 mph ; time = d/r = 7/(b+4) hrs
\n" ); document.write( "------------------------
\n" ); document.write( "Equation:
\n" ); document.write( "time + time = 6 hrs
\n" ); document.write( "7/(b-4) + 7/(b+4) = 6
\n" ); document.write( "-------
\n" ); document.write( "7(b+4) + 7(b-4) = 6(b^2-16)
\n" ); document.write( "14b = 6b^2 - 96
\n" ); document.write( "----------
\n" ); document.write( "3b^2 - 7b -48 = 0
\n" ); document.write( "------------
\n" ); document.write( "Positive solution::
\n" ); document.write( "b = 5 1/3 mph (Ian's rate in still water)
\n" ); document.write( "======================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "======================
\n" ); document.write( "
\n" ); document.write( "
\n" );