SOLUTION: it took a motorboat 2 h more to travel 32 mi against a current than it took to travel 32 mi with the current. the rate of the current was 4 mph. find the rate of the boat in calm w

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 Click here to see ALL problems on Travel Word Problems Question 454678: it took a motorboat 2 h more to travel 32 mi against a current than it took to travel 32 mi with the current. the rate of the current was 4 mph. find the rate of the boat in calm waterAnswer by mananth(12270)   (Show Source): You can put this solution on YOUR website!spee with wind x+4 mph speed against wind=x-4 mph Total flying time = 5.33 hours Time with wind= -32/(x+4 ) time against wind 32/(x-4) time against wind - time with wind = 2 -32/(x+4)+32/(x -4)=2 LCD =(x+ 4)*(x-4) multiply the equation by the LCD we get -32*(x-4 )+32(x+4)=2(x^2-16) -32x128+ 32x+128 )=2X^2-32 0x+256=2 x^2-32 2x^2-256 -32=0 2x^2-288 =0 /2 X^2-144 =0 x^2=144 x= +/- 12 x = 12 mph the boat speed