A swimmer crosses a flowing stream of width `omega` to and fro in time `t_(1)`. The time taken to cover the same distance up and down the stream is `t_(2)`. If `t_(3)` is the time the swimmer would take to swim a distance `2omega` in still water, then

Options

A. `t_(1)^(2)=t_(2)t_(3)`
B. `t_(2)^(2)=t_(1)t_(3)`
C. `t_(3)^(2)=t_(1)t_(3)`
D. `t_(3) =t_(1)+t_(2)`

Answer

A