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V river = 5m/min
V man = 10 m/minsuppose width of river is x mts
Case 1
if he travels due north
then his resultant velocty ( due to velocity of downstream of water) acts 30 north of east and the distane to be covered to reach the other bank increses to = x/cos 30
i.e., 2x /31/2 and resultant velocity is 11.2 m/min
so time taken is x / 9.7 mins
Case 2
if he travels due 30 north of east
then his resultant velocty ( due to velocity of downstream of water) actsdue north and the distane to be covered to reach the other bank will be x mts and resultant velocity is 8.7 m/min
so time taken is x / 8.7 mins
So case 1 takes least time
he should travel due north
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