 
       
      
    A river flows from west to east at a speed of  . There is a man on the south bank of the river who can swim to a speed of  
 in calm water and wants to swim across the river in the minimum time. He must swim in one direction:
Due north
 east to north
 west to north.
 east to north
Let the time is taken to cross the river be t.
For the time t to be minimum  should be maximum,
  should be   0
Therefore, swimmer should swim due north.
 
                