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47.A man can row a boat with 4kmph in st...

47.A man can row a boat with 4kmph in still water.If he is crossing a river where the current is 8kmph .The time take to cross the river in shortest path is (k)/(sqrt(3))hr .Where k ' is (width of the river is 8km )

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A man can row a boat with 4km/h in still water, if he is crossing a river where the current is 2 km/h. (a) In what direction will his boat be holded, if he wants to reach a point on the other bank, directly opposite to starting point? (b) If width of the river 4km, how long will the man take to cross the river, with the condition in part (a)? (c) In what direction shou ld he heat the boat if he wants to cross the river in shorest time and what is this minimum time? (d) How long will it take him to row 2 km up the stream and then back to his starting point?

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