Speed of Motorboat Going Downstream at Point 'a': 6 km/hr

[JAIN JAIMIK]

A Motorboat Going Downstream Overcame A Raft At Point 'a' . 60 Minutes Later It Turned Back And After Some Time Passed The Raft At A Distance 6 Kilometer From Point 'a'.find The Flow Velocity Assuming The Duty Of Engine To Be Constant

 

[JAIN JAIMIK]

Please Help Me Doing This Problem

 

[quicknote]

Based on the given information, we can calculate the speed of the motorboat going downstream at point 'a' to be 6 km/hr. We also know that the motorboat overcame a raft at point 'a' and then turned back after 60 minutes. This means that the motorboat was traveling at a constant speed for 60 minutes before turning back.

In order to find the flow velocity, we need to first calculate the distance traveled by the motorboat during those 60 minutes. Since it overtook the raft at point 'a', we can assume that the distance traveled by the motorboat in those 60 minutes is equal to the distance between point 'a' and the point where it turned back.

Therefore, the distance traveled by the motorboat in 60 minutes is 6 kilometers.

Now, we also know that after turning back, the motorboat passed the raft at a distance of 6 kilometers from point 'a'. This means that the total distance traveled by the motorboat in one direction is 12 kilometers (6 kilometers to reach the raft + 6 kilometers to return to point 'a').

Since the motorboat traveled this distance in a total of 60 minutes, we can calculate its speed to be 12 kilometers per hour.

However, this speed includes the effect of the flow velocity. In order to find the flow velocity, we need to subtract the speed of the motorboat (6 km/hr) from the calculated speed (12 km/hr).

Therefore, the flow velocity is 6 km/hr.

This calculation assumes that the duty of the engine was constant throughout the entire journey. If the duty of the engine was not constant, the flow velocity may be different. Further information would be needed to accurately calculate the flow velocity in that case.