0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

A motorboat going downstream overcame a raft at a point A; τ=60min later it turned back and after some time the raft is at a distance l=6.0km from the point A. Find the flow velocity in km/h assuming the duty of the engine to be constant.

Solution
Verified by Toppr

Considering the given figure below.
Let v0 be the stream velocity and v the velocity of motorboat with respect to water. The motorboat reached point B while going downstream with velocity (v0+v) and then returned with velocity (vv0) and passed the raft at point C. Let t be the time for the raft (which flows with stream with velocity v0) to move from point A to C, during which the motorboat moves from A to B and then from B to C.
Therefore
lv0=τ+(v0+v)τl(vv0)
On solving, we get v0=l2τ=3km/hr.
157430_125988_ans.png

Was this answer helpful?
10
Similar Questions
Q1
A motorboat going downstream overcame a raft at a point A; τ=60min later it turned back and after some time the raft is at a distance l=6.0km from the point A. Find the flow velocity in km/h assuming the duty of the engine to be constant.
View Solution
Q2
A motor boat going downstream overcame a raft at a point A; τ=60min later it turned back and after some time passed the raft at a distance l=6.0km from point A. Find the flow velocity assuming the duty of the engine to be constant.
View Solution
Q3

A motorboat going downstream overcame a raft at a point A; t = 60 minutes later, it turned back and after some time passed the raft at a distance l = 6.0 km from the point A. Find the flow velocity assuming the duty of the engine to be constant.


View Solution
Q4

A motorboat going downstream overcame a raft at a point A; t = 60 minutes later, it turned back and after some time passed the raft at a distance l = 6.0 km from the point A. Find the flow velocity assuming the duty of the engine to be constant.


View Solution
Q5

A motorboat going downstream overcome a raft at a point A at T= 60 min later it turned back and after some time passed the raft at a distance l = 6 km from the point A. Find the flow velocity assuming the duty of engine to be constant

View Solution