Two boats were going down stream with different velocities When one overtook the other a plastic ball was dropped from one of the boats Some time later both boats turned back simultaneously & went at the same speed as before (relative to the water) towards the spot where the ball had been dropped which boat will reach the ball first?

Options

A. the boat which has greater velocity (relative to water)
B. the boat which has lesser velocity (relative to water)
C. both will reach the ball simultaneously
D. cannot be decided unless we know the actual values of the velocities and the time after which they turned around.

Answer

C

Explanation

From frame of ball i.e frame of water the velocity of both boats is constant for upstream& downstream
let velocity of boat awrt water `=V_(1)=V_(A//w)`
& velocity of boat Bwrt water `=V_(2)=V_(B//w)`
let them move for time t_(0)& then turn back by then in water frame A had travelled `V_(A//w)xxt_(0)`
& B has travelled `V_(B//w)xxt_(0)`
Let them come back in time `t_(1)` & `t_(2)` respectively
`t_(1)=(V_(A//w)xxt_(0))/(V_(A//W))=t_(0)`







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