document.write( "Question 123331: Debbi traveled by boat by 5 miles upstream to fish in her favorite spot. Because of the 4-mhp current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water? \n" ); document.write( "
Algebra.Com's Answer #90710 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Debbi traveled by boat by 5 miles upstream to fish in her favorite spot. Because of the 4-mhp current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?
\n" ); document.write( ":
\n" ); document.write( "Let s = boat speed in still water
\n" ); document.write( "then
\n" ); document.write( "(s-4) = speed upstream
\n" ); document.write( "and
\n" ); document.write( "(s+4) = speed downstream
\n" ); document.write( ":
\n" ); document.write( "Change 20 min to hrs: 20/60 = \"1%2F3\" hr
\n" ); document.write( ":
\n" ); document.write( "Write a time equation: Time = \"Distance%2Fspeed\"
\n" ); document.write( ":
\n" ); document.write( "Time upstream - time downstream = 20 min (1/3 hr)
\n" ); document.write( "\"5%2F%28%28s-4%29%29\" - \"5%2F%28%28s%2B4%29%29\" = \"1%2F3\"
\n" ); document.write( "Multiply equation by the common denominator 3(s-4)(s+4) and you have:
\n" ); document.write( ":
\n" ); document.write( "3(s+4)(5) - 3(s-4)(5) = (s+4)(s-4)
\n" ); document.write( ":
\n" ); document.write( "15(s+4) - 15(s-4) = s^2 - 16
\n" ); document.write( ":
\n" ); document.write( "15s + 60 - 15s + 60 = s^2 - 16
\n" ); document.write( ":
\n" ); document.write( "120 = s^2 - 16
\n" ); document.write( ":
\n" ); document.write( "120 + 16 = s^2
\n" ); document.write( ":
\n" ); document.write( "s^2 = 136
\n" ); document.write( "s = \"sqrt%28136%29\"
\n" ); document.write( "s = 11.66 mph boat speed in still water
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in original equation using decimals:
\n" ); document.write( "speed upstream = 7.66
\n" ); document.write( "speed downstream = 15.66
\n" ); document.write( "\"5%2F%287.66%29\" - \"5%2F%2815.66%29\" =
\n" ); document.write( " .653 - .319 = .333; confirms our solution of s = 11.66
\n" ); document.write( "
\n" ); document.write( "
\n" );