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On a river there are two towns 24km apart by rowing one half of the distance and walking the other half a man perform the journey down stream in 5hours and up stream in 7hourshad there been no current each journey would have taken 52/3 hours. Then the rate of rowing is?
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On a river there are two towns 24km apart by rowing one half of the di...
Solution:
Given:
- Distance between two towns = 24 km
- The man performs the journey by rowing half the distance and walking half the distance
- Time taken downstream = 5 hours
- Time taken upstream = 7 hours
- Time taken without current = 52/3 hours
To Find:
- The rate of rowing
Assumptions:
- Let the speed of the man while rowing be x km/hr
- Let the speed of the current be y km/hr
Calculation:
- Let the distance covered by the man while rowing be d km
- Therefore, the distance covered by the man while walking = 24 - d km
- Downstream:
- Speed of the man relative to the river = (x + y) km/hr
- Time taken = 5 hours
- Distance covered = d km
- Therefore, d = (x + y) × 5
- Upstream:
- Speed of the man relative to the river = (x - y) km/hr
- Time taken = 7 hours
- Distance covered = 24 - d km
- Therefore, 24 - d = (x - y) × 7
- Without current:
- Speed of the man = x km/hr
- Time taken = 52/3 hours
- Distance covered = 24 km
- Therefore, 24 = x × 52/3
Solution:
- From the third equation, we get x = 9.2 km/hr
- Substituting this value of x in the first equation, we get d = (9.2 + y) × 5
- Substituting this value of d in the second equation, we get 24 - (9.2 + y) × 5 = (9.2 - y) × 7
- Solving this equation, we get y = 1.2 km/hr
- Therefore, the rate of rowing is x - y = 9.2 - 1.2 = 8 km/hr.
Hence, the rate of rowing is 8 km/hr.
Given:
- Distance between two towns = 24 km
- The man performs the journey by rowing half the distance and walking half the distance
- Time taken downstream = 5 hours
- Time taken upstream = 7 hours
- Time taken without current = 52/3 hours
To Find:
- The rate of rowing
Assumptions:
- Let the speed of the man while rowing be x km/hr
- Let the speed of the current be y km/hr
Calculation:
- Let the distance covered by the man while rowing be d km
- Therefore, the distance covered by the man while walking = 24 - d km
- Downstream:
- Speed of the man relative to the river = (x + y) km/hr
- Time taken = 5 hours
- Distance covered = d km
- Therefore, d = (x + y) × 5
- Upstream:
- Speed of the man relative to the river = (x - y) km/hr
- Time taken = 7 hours
- Distance covered = 24 - d km
- Therefore, 24 - d = (x - y) × 7
- Without current:
- Speed of the man = x km/hr
- Time taken = 52/3 hours
- Distance covered = 24 km
- Therefore, 24 = x × 52/3
Solution:
- From the third equation, we get x = 9.2 km/hr
- Substituting this value of x in the first equation, we get d = (9.2 + y) × 5
- Substituting this value of d in the second equation, we get 24 - (9.2 + y) × 5 = (9.2 - y) × 7
- Solving this equation, we get y = 1.2 km/hr
- Therefore, the rate of rowing is x - y = 9.2 - 1.2 = 8 km/hr.
Hence, the rate of rowing is 8 km/hr.
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On a river there are two towns 24km apart by rowing one half of the distance and walking the other half a man perform the journey down stream in 5hours and up stream in 7hourshad there been no current each journey would have taken 52/3 hours. Then the rate of rowing is?
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On a river there are two towns 24km apart by rowing one half of the distance and walking the other half a man perform the journey down stream in 5hours and up stream in 7hourshad there been no current each journey would have taken 52/3 hours. Then the rate of rowing is? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about On a river there are two towns 24km apart by rowing one half of the distance and walking the other half a man perform the journey down stream in 5hours and up stream in 7hourshad there been no current each journey would have taken 52/3 hours. Then the rate of rowing is? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On a river there are two towns 24km apart by rowing one half of the distance and walking the other half a man perform the journey down stream in 5hours and up stream in 7hourshad there been no current each journey would have taken 52/3 hours. Then the rate of rowing is?.
On a river there are two towns 24km apart by rowing one half of the distance and walking the other half a man perform the journey down stream in 5hours and up stream in 7hourshad there been no current each journey would have taken 52/3 hours. Then the rate of rowing is? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about On a river there are two towns 24km apart by rowing one half of the distance and walking the other half a man perform the journey down stream in 5hours and up stream in 7hourshad there been no current each journey would have taken 52/3 hours. Then the rate of rowing is? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On a river there are two towns 24km apart by rowing one half of the distance and walking the other half a man perform the journey down stream in 5hours and up stream in 7hourshad there been no current each journey would have taken 52/3 hours. Then the rate of rowing is?.
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