Answer :

Given:


Speed of the river = vr = 3m/s


Speed of the man = vm = 4m/s


(a)



The river flows East and the man swims north


So, resultant speed of the man,



Resultant direction of the man,




(b)



If the man wants to reach the opposite point on the bank, then the horizontal component of his resultant velocity must be zero.


So, vmx = -vr = -3m/s



Now, direction in which the man should swim can be found by,




(c) Time taken by man to swim can be found by,



In case a,



In case b,



Clearly, T1 < T2


So, the man will reach the opposite bank in shorter time in case a.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A river is flowinPhysics - Exemplar

A cricket fielderPhysics - Exemplar

A boy throws a baPhysics - Exemplar

A boy travelling Physics - Exemplar

A girl riding a bPhysics - Exemplar