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Let the speed of the boats ‘A and ‘B’ in still water be ‘15x’ km/hr and ‘13x’ km/hr, repectively Speed of boat ‘A’ in downstream = (15x+16) km/hr Speed of boat ‘B’ in upstream = (13x-16) km/hr According to the question, (2444x – 3008) + (600x+640) = 8*(195x2 –32x-256) 3004x-2368 = 1560x2 –256x-2048 1560x2 – 3260x + 320 = 0 78x2 – 163x + 16 = 0 X= 1.98 or 0.10 X= 2 approx. Speed of the boat A and B in still water is 30km/hr and 26 km/hr . Speed of boat A in upstream = 30-16 = 14 km/hr Speed of the boat B in downstream = 26+16 = 42 km/hr Required sum = 14km/hr +42 km/hr = 56 km/hr.
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