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A boat can be rowed in still water at a ...

A boat can be rowed in still water at a speed u. The boat is moving downstream in a river in which water flows at a speed v. There is raft floating in water and therefore moving along with water at speed v. Let the boat overtakes the raft at the moment t = 0.
Let the boat turns back at time `t=t_(0)` and starts moving towards the raft. The separation between the raft and boat after a time interval t' measured from the moment of turning back is

A

`ut_(0)-ut'`

B

`ut_(0)-(u+v)t'`

C

`ut_(0)-vt'`

D

`ut_(0)-ut'+vt'`

Text Solution

Verified by Experts

The correct Answer is:
1
At the moment of turning back separation in `ut_(0)`
In next time t' raft will move towards by a distance vt'
The boat will move towards raft by a distance `(u-v)t'`
So, separation will decrease and is given by
`ut_(0)-vt'-(u-v)t'=ut_(0)-ut'`
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