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A sailor goes 12 kilometres downstream in 48 minutes and returns in 1 hour 20 minutes. The Speed of the sailor in steel water is?
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A sailor goes 12 kilometres downstream in 48 minutes and returns in 1 ...
Analysis of the Problem:
To find the speed of the sailor in still water, we must first understand the concept of relative speed in a river. When a person travels downstream, the speed of the river adds to the speed of the person. Conversely, when the person travels upstream, the speed of the river subtracts from the speed of the person.
Given Information:
- Distance downstream = 12 km
- Time taken downstream = 48 minutes = 0.8 hours
- Time taken upstream = 1 hour 20 minutes = 1.33 hours
Calculations:
Let the speed of the sailor in still water be S km/hr and the speed of the river be R km/hr.
- Speed downstream = S + R
- Speed upstream = S - R
Using the formula: Speed = Distance/Time
- Downstream speed = 12 km / 0.8 hours = 15 km/hr
- Upstream speed = 12 km / 1.33 hours = 9 km/hr
Now, we can set up two equations:
1. S + R = 15
2. S - R = 9
Adding both equations, we get:
2S = 24
S = 12 km/hr
Conclusion:
Therefore, the speed of the sailor in still water is 12 km/hr.
To find the speed of the sailor in still water, we must first understand the concept of relative speed in a river. When a person travels downstream, the speed of the river adds to the speed of the person. Conversely, when the person travels upstream, the speed of the river subtracts from the speed of the person.
Given Information:
- Distance downstream = 12 km
- Time taken downstream = 48 minutes = 0.8 hours
- Time taken upstream = 1 hour 20 minutes = 1.33 hours
Calculations:
Let the speed of the sailor in still water be S km/hr and the speed of the river be R km/hr.
- Speed downstream = S + R
- Speed upstream = S - R
Using the formula: Speed = Distance/Time
- Downstream speed = 12 km / 0.8 hours = 15 km/hr
- Upstream speed = 12 km / 1.33 hours = 9 km/hr
Now, we can set up two equations:
1. S + R = 15
2. S - R = 9
Adding both equations, we get:
2S = 24
S = 12 km/hr
Conclusion:
Therefore, the speed of the sailor in still water is 12 km/hr.
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A sailor goes 12 kilometres downstream in 48 minutes and returns in 1 hour 20 minutes. The Speed of the sailor in steel water is?
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A sailor goes 12 kilometres downstream in 48 minutes and returns in 1 hour 20 minutes. The Speed of the sailor in steel water is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A sailor goes 12 kilometres downstream in 48 minutes and returns in 1 hour 20 minutes. The Speed of the sailor in steel water is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sailor goes 12 kilometres downstream in 48 minutes and returns in 1 hour 20 minutes. The Speed of the sailor in steel water is?.
A sailor goes 12 kilometres downstream in 48 minutes and returns in 1 hour 20 minutes. The Speed of the sailor in steel water is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A sailor goes 12 kilometres downstream in 48 minutes and returns in 1 hour 20 minutes. The Speed of the sailor in steel water is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sailor goes 12 kilometres downstream in 48 minutes and returns in 1 hour 20 minutes. The Speed of the sailor in steel water is?.
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