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A swimmer crosses a river in shortest distance. If he tries to swim at 4 km/ hr maintaining 120 with the downstream then speed of the river is

A swimmer crosses a river in shortest distance. If he tries to swim at 4 km/ hr maintaining 120 with the downstream then speed of the river is 
 

Grade:12th pass

5 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

Draw the vector triangle you would find 4 cos 60 = speed of river

Ie speed of river is 2 m/s

Regards
Khimraj
3007 Points
4 years ago
The speed of the river is 2 km/hr.
Explanation:
Given that,
Velocity of swimmer = 4 km/hr
Angle = 120°
We need to draw a figure,
Here,  is the velocity of swimmer w.r.to river,  is the velocity of river w.r. to ground and V is the velocity of swimmer w.r.to ground.
 
 
 
 
Put the value in equation (I)
 
 
Hence, The speed of the river is 2 km/hr.
 
aswanth nayak
100 Points
4 years ago
Draw the vector triangle you would find 4 cos 60 = speed of riverIe speed of river is 2 m/The speed of the river is 2 km/hr.
Explanation:
Given that,
Velocity of swimmer = 4 km/hr
Angle = 120°
We need to draw a figure,
Here,  is the velocity of swimmer w.r.to river,  is the velocity of river w.r. to ground and V is the velocity of swimmer w.r.to ground.
Put the value in equation (I)
Hence, The speed of the river is 2 km/hr.
aswanth nayak
100 Points
4 years ago
Dear student,Draw the vector triangle you would find 4 cos 60 = speed of riverIe speed of river is 2 m/s
 
 
 
Regards
aswanth nayak
100 Points
4 years ago
Dear Student
 
 
The speed of the river is 2 km/hr.
Explanation:
Given that,
Velocity of swimmer = 4 km/hr
Angle = 120°
We need to draw a figure,
Here,  is the velocity of swimmer w.r.to river,  is the velocity of river w.r. to ground and V is the velocity of swimmer w.r.to ground.
 
 
 
 
Put the value in equation (I)
 
 
Hence, The speed of the river is 2 km/hr.
 

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