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Let the speed of the boat in still water by x km/hr and speed of the stream be y km/hr. As per the question Time taken by the boat to cover 90 km in still water = (90/x) = 6 x= 15km/hr Time taken by the boat to travel 90 km in upstream = (90/15-y) = 9 = 90 = 135-9y = 9y = 45 = y = 5 km/hr. Change in speed of boat and stream Boat = 15*(2/3) = 10 km/hr Stream = 5*(6/5) = 6 km/hr. Speed downstream = 10+6 = 16 km/hr. Time taken by boat to cover 176 km = 176/16 = 11 hr. Upstream speed = 10-6 = 4 km/hr. Time taken by boat to cover 76 km = 76/4 = 19 hrs Required difference = 19hr – 11 hr. = 8 hrs.
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