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A boat goes 12 km upstream and 40 km downstream in 8 hours. It can go 16 km upstream and 32 km downstream is the same time. Find the speed of the boat in

Let speed of boat is x and stream is y speed of boat upstream = x-y speed of boat downstream = x+y 8 = 12/(x-y) + 40/(x+y) 8(x²-y²) = 52x -28y ..................(1) 8 = 16/(x-y) + 32/(x+y) 8(x²-y²) = 48x - 16y ..................(2) (1) - (2) 4x - 12y = 0 x = 3y .........................(3) put in equation (1) 8(9y²-y²) = 52*3y - 28y 64y² = 128y y = 0 or 2 y= 0 not possible put y = 2 in equation (3) x = 6Km./h (speed of boat in still water) y = 2Km./h (speed of stream)