document.write( "Question 170692: A sailboat travels 20 miles downstream in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and the rate of the current.\r
\n" ); document.write( "\n" ); document.write( "Help, no idea.\r
\n" ); document.write( "\n" ); document.write( "Thanks.
\n" ); document.write( "

Algebra.Com's Answer #126019 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A sailboat travels 20 miles downstream in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and the rate of the current.
\n" ); document.write( "----------------------
\n" ); document.write( "Downstream DATA:
\n" ); document.write( "distance = 20 miles; time = 3 hrs. ;rate = d/t = 20/3 mph
\n" ); document.write( "---------------------------------------
\n" ); document.write( "Upstream DATA:
\n" ); document.write( "distance = 20 miles; time = 4 hrs. ;rate = d/t = 20/4 = 5 mph
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "Let still water speed be \"b\"; Let current speed be \"c\"
\n" ); document.write( "Downstream: b + c = 20/3 mph
\n" ); document.write( "Upstream : b - c = 5
\n" ); document.write( "----------------------
\n" ); document.write( "2b = 35/3
\n" ); document.write( "b = 35/6 = 5 4/6 mph (boat speed in still water)
\n" ); document.write( "-------
\n" ); document.write( "Use b -c = 5 to solve for \"c\".
\n" ); document.write( "35/6 - c = 30/6
\n" ); document.write( "c = 5/6 mph (current speed)
\n" ); document.write( "================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );