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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.
After how much time, measured from the moment of turning back the boat will cross the raft again ?
Option 1 `t_(0)`
Option 2 `(ut_(0))/(u+v)`
Option 3 `(vt_(0))/(u+v)`
Option 4 `((v+v)t_(0))/(u-v)`

A

`t_(0)`

B

`(ut_(0))/(u+v)`

C

`(vt_(0))/(u+v)`

D

`((v+v)t_(0))/(u-v)`

Text Solution

Verified by Experts

The correct Answer is:
1
Put separation = 0
`rArr" "ut_(0)-ut'=0 rArr t'=t_(0)`
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