A man can row a boat with 4Km/h in still water, if he is crossing a river where the current is 2Km/h. [a] In what direction will his boat be headed if he wants to reach a point on the other bank, directly opposite to starting point? [b] If the width of the river is 500m, how long will it take to reach at that opposite point?
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Answer:
For the boat to cross the river in the shortest time, the man should head the boat in the direction perpendicular to the river current.
Given : Velocity of man wrt river, V
MW
=4 km/hr
Velocity of river, V
R
=2 km/hr
d=4 km
Minimum time taken to cross the river
t=
V
MW
d
=
4
4
=1 hr
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