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A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. While swimming against the flow, she takes 5 hours for the same distance. Her speed in still water (in km/h) is ________.
(Important - Enter only the numerical value in the answer)
Correct answer is '3.5'. Can you explain this answer?
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A swimmer can swim 10 km in 2 hours when swimming along the flow of a ...
Let Swimmer = x
River = y
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A swimmer can swim 10 km in 2 hours when swimming along the flow of a ...
To solve this problem, we can use the concept of relative speed. Let's assume the speed of the swimmer in still water is 'x' km/h, and the speed of the river current is 'y' km/h. We need to find the value of 'x'.
When swimming along the flow of the river:
- The effective speed of the swimmer will be the sum of the speed in still water and the speed of the current, which is (x + y) km/h.
- The time taken to swim 10 km will be 2 hours.
When swimming against the flow of the river:
- The effective speed of the swimmer will be the difference between the speed in still water and the speed of the current, which is (x - y) km/h.
- The time taken to swim 10 km will be 5 hours.
Using the formula Distance = Speed × Time, we can write the equations as:
1. (x + y) × 2 = 10 (when swimming along the flow)
2. (x - y) × 5 = 10 (when swimming against the flow)
Simplifying these equations, we get:
1. x + y = 5 (equation 1)
2. x - y = 2 (equation 2)
Adding equation 1 and equation 2, we get:
2x = 7
Dividing both sides by 2, we get:
x = 3.5
Therefore, the speed of the swimmer in still water is 3.5 km/h.
When swimming along the flow of the river:
- The effective speed of the swimmer will be the sum of the speed in still water and the speed of the current, which is (x + y) km/h.
- The time taken to swim 10 km will be 2 hours.
When swimming against the flow of the river:
- The effective speed of the swimmer will be the difference between the speed in still water and the speed of the current, which is (x - y) km/h.
- The time taken to swim 10 km will be 5 hours.
Using the formula Distance = Speed × Time, we can write the equations as:
1. (x + y) × 2 = 10 (when swimming along the flow)
2. (x - y) × 5 = 10 (when swimming against the flow)
Simplifying these equations, we get:
1. x + y = 5 (equation 1)
2. x - y = 2 (equation 2)
Adding equation 1 and equation 2, we get:
2x = 7
Dividing both sides by 2, we get:
x = 3.5
Therefore, the speed of the swimmer in still water is 3.5 km/h.
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A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. Whileswimming against the flow, she takes 5 hours for the same distance. Her speed in still water(in km/h) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '3.5'. Can you explain this answer?
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A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. Whileswimming against the flow, she takes 5 hours for the same distance. Her speed in still water(in km/h) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '3.5'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. Whileswimming against the flow, she takes 5 hours for the same distance. Her speed in still water(in km/h) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '3.5'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. Whileswimming against the flow, she takes 5 hours for the same distance. Her speed in still water(in km/h) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '3.5'. Can you explain this answer?.
A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. Whileswimming against the flow, she takes 5 hours for the same distance. Her speed in still water(in km/h) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '3.5'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. Whileswimming against the flow, she takes 5 hours for the same distance. Her speed in still water(in km/h) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '3.5'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. Whileswimming against the flow, she takes 5 hours for the same distance. Her speed in still water(in km/h) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '3.5'. Can you explain this answer?.
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A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. Whileswimming against the flow, she takes 5 hours for the same distance. Her speed in still water(in km/h) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '3.5'. Can you explain this answer?, a detailed solution for A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. Whileswimming against the flow, she takes 5 hours for the same distance. Her speed in still water(in km/h) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '3.5'. Can you explain this answer? has been provided alongside types of A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. Whileswimming against the flow, she takes 5 hours for the same distance. Her speed in still water(in km/h) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '3.5'. Can you explain this answer? theory, EduRev gives you an
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