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A swimmer swims in still water at a speed 5km/hr He enters a 200m wide river having river flow speed 4km/hr at a point A and proceeds to swim at an angle 127 degree with the river flow direction another point B is located directly across a on the other side this winner lands on the other bank at a point c from which he walks the distance CB with a speed of 3 kilometre per all the total time in which he reaches from a to b is?
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A swimmer swims in still water at a speed 5km/hr He enters a 200m wide...


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A swimmer swims in still water at a speed 5km/hr He enters a 200m wide...
Given:
Speed of swimmer in still water = 5 km/hr
Width of the river = 200 m
Speed of river flow = 4 km/hr
Angle with river flow direction = 127 degrees
Speed of walking = 3 km/hr

To Find:
Total time taken to reach from point A to point B

Solution:

Step 1: Determine the effective speed
The swimmer's speed in the river can be determined by finding the component of his speed in the direction of the river flow.
The effective speed of the swimmer in the river can be calculated using the formula:
Effective Speed = Speed in still water * cos(angle with river flow direction)

Plugging in the given values:
Effective Speed = 5 km/hr * cos(127 degrees)
Effective Speed ≈ 5 km/hr * (-0.5253)
Effective Speed ≈ -2.6265 km/hr

Note: The negative sign indicates that the swimmer is swimming against the current of the river.

Step 2: Determine the time taken to cross the river
The time taken to cross the river can be calculated using the formula:
Time = Distance / Speed

Plugging in the given values:
Distance = Width of the river = 200 m
Speed = Effective Speed = -2.6265 km/hr

Converting the speed to meters per hour:
Speed = -2.6265 km/hr * (1000 m/km) = -2626.5 m/hr

Time = 200 m / (-2626.5 m/hr)
Time ≈ -0.0762 hr

Note: The negative sign indicates that the swimmer is swimming against the current of the river.

Step 3: Determine the time taken to walk from point C to point B
The time taken to walk from point C to point B can be calculated using the formula:
Time = Distance / Speed

Plugging in the given values:
Distance = CB
Speed = 3 km/hr

Time = CB / 3 km/hr

Step 4: Determine the total time taken
The total time taken is the sum of the time taken to cross the river and the time taken to walk from point C to point B.

Total Time = Time taken to cross the river + Time taken to walk from C to B

Final Answer:
The total time taken to reach from point A to point B can be calculated by adding the time taken to cross the river (approximately -0.0762 hr) and the time taken to walk from point C to point B (CB / 3 km/hr).
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A swimmer swims in still water at a speed 5km/hr He enters a 200m wide river having river flow speed 4km/hr at a point A and proceeds to swim at an angle 127 degree with the river flow direction another point B is located directly across a on the other side this winner lands on the other bank at a point c from which he walks the distance CB with a speed of 3 kilometre per all the total time in which he reaches from a to b is?
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A swimmer swims in still water at a speed 5km/hr He enters a 200m wide river having river flow speed 4km/hr at a point A and proceeds to swim at an angle 127 degree with the river flow direction another point B is located directly across a on the other side this winner lands on the other bank at a point c from which he walks the distance CB with a speed of 3 kilometre per all the total time in which he reaches from a to b is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A swimmer swims in still water at a speed 5km/hr He enters a 200m wide river having river flow speed 4km/hr at a point A and proceeds to swim at an angle 127 degree with the river flow direction another point B is located directly across a on the other side this winner lands on the other bank at a point c from which he walks the distance CB with a speed of 3 kilometre per all the total time in which he reaches from a to b is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A swimmer swims in still water at a speed 5km/hr He enters a 200m wide river having river flow speed 4km/hr at a point A and proceeds to swim at an angle 127 degree with the river flow direction another point B is located directly across a on the other side this winner lands on the other bank at a point c from which he walks the distance CB with a speed of 3 kilometre per all the total time in which he reaches from a to b is?.
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