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A boat can cover 14 km upstream and 21 km downstream together in 3 hours. Also it can cover 21 km upstream and 42 km downstream together in 5 hours. What is the speed of current?
13 km/hr
8 km/hr
7 km/hr
11 km/hr
Solution: Upstream speed in both cases is 14 and 21 resp. Ratio is 14 : 21 = 2 : 3. So let times in both cases be 2x and 3x Downstream speed in both cases is 21 and 42 resp. Ratio is 21 : 42 = 1 : 2. So let times in both cases be y and 2y So 2x + y = 3 and 3x + 2y = 5 Solve both, x = 1, y = 1 So upstream speed is = 14/2x = 7 km/hr And downstream = 21/y = 21 km/hr So speed of current is 1/2 * (21-7) = 7 km/hr
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