# SOLUTION: A boat can travel 5 mile upstream and 5 miles downstream in a total of 6 hours. If the speed of the current is 2 mph, what is the speed of the boat in still water?

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 Click here to see ALL problems on Travel Word Problems Question 406189: A boat can travel 5 mile upstream and 5 miles downstream in a total of 6 hours. If the speed of the current is 2 mph, what is the speed of the boat in still water?Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi speed of the current is 2 mph Let (x+2mph) and (x-2mph) represent the speed of the boat down and upstream respectively, D = r*t OR t = D/r Question states*** (total time up and down is 6 hr) 5/(x+2) + 5/(x-2) = 6 |multiplying thru by (x+2)(x-2) 5(x+2) + 5(x-2)=6(x+2)(x-2) 10x = 6(x^2 - 4) 6x^2 -10x - 24 = 0 2(3x^2 -5x - 12) = 0 (3x^2 -5x - 12)= 0 factoring (3x +4)(x-3)= 0 Note:SUM of the inner product(4x) and the outer product(-9x) = -5x (3x +4)= 0 |tossing out negative solution for speed (x-3)= 0 x = 3mph, speed of boat in still water CHECKING our Answer*** 5/5 + 5/1 = 6hr ```