Here, velocity of man is, v = 5 km/hr
Velocity of river is, u = 3 km/hr along QP
Swimmer A:
Velocity of swimmer A w.r.t. bank while going from P to Q = v - u
Velocity of swimmer A w.r.t. bank while coming back from Q to P = v + u
Time taken by swimmer A to make the round trip is,
or
Swimmer B:
To cross the river straight across man will dive at angle ***** (shown in figure) given by
Therefore time taken by man B to make the round trip is,
The difference of the time taken by two swimmers is
Let a be the radius of circle.
Let the three forces acting at point O be in equilibrium.
A river d km wide is flowing at the rate A swimmer which can swim with velocity relative to water wants to cross the river straight across. Find how long will he take to cross the river?
A stream of width d is flowing with velocity v. A person who can swim with speed V relative to water wishes to row straight across it. In what direction should he strike out and how long would it take him to cross the stream?