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)![]() ![]() 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 = \n" ); document.write( ": \n" ); document.write( "Write a time equation: Time = \n" ); document.write( ": \n" ); document.write( "Time upstream - time downstream = 20 min (1/3 hr) \n" ); document.write( " \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 = \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( " \n" ); document.write( " .653 - .319 = .333; confirms our solution of s = 11.66 \n" ); document.write( " \n" ); document.write( " |