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Let the speed of boat in still water and speed of stream be 'x' km/hr and 'y' km/hr, respectively. According to question; (220/x) - (120/x) = 4 Or, (100/x) = 4 So, x = 25 Now, 11 x (25 + y) = 11 x (22 - y) + 22 Or, 275 + 11y = 275 - 11y + 22 Or, 22y = 22 So, y = 1 So, downstream speed of the boat = (25 + 1) = 26 km/hr And, upstream speed of the boat = (25 - 1) = 24 km/hr Required time taken = (200/26) + (110/24) ~ (8 + 5) ~ 14 hours
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The interaction rate is
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