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Own Wednesday if the boat covered half distance upstream with usual speed and other half with the double it speed then its take 33 Sahi 3/4 hours less time then the usual time to go upstream find the speed of the boat in still water?
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Own Wednesday if the boat covered half distance upstream with usual sp...
Understanding the Problem
To solve the problem, we need to determine the speed of the boat in still water based on the given conditions of speed and time taken.
Key Variables
- Let the speed of the boat in still water be "b" km/h.
- Let the speed of the current be "c" km/h.
- The upstream speed = (b - c) km/h.
- The downstream speed = (b + c) km/h.
Distance and Time
- Assume the total distance upstream is "D" km.
- The boat covers half the distance upstream (D/2) at its usual speed (b - c).
- The remaining half (D/2) at double its usual speed, which is 2(b - c).
Time Calculation
- Time taken for the first half:
Time1 = (D/2) / (b - c)
- Time taken for the second half:
Time2 = (D/2) / (2(b - c))
- Total time with the new speed:
Total Time = Time1 + Time2
Usual Time Comparison
- Usual time to cover D upstream:
Usual Time = D / (b - c)
- Given that the new time is 33 3/4 hours less:
Usual Time - Total Time = 33 3/4 hours
Setting Up the Equation
Convert 33 3/4 hours to a fraction:
33 3/4 = 33.75 hours.
Now, we can set up the equation:
D / (b - c) - [ (D/2) / (b - c) + (D/2) / (2(b - c)) ] = 33.75
Simplify and solve for "b" and "c".
Final Steps
- Rearrange the equation to isolate "b".
- Use assumed values or relations for "c" if needed.
- Solve the equation to find the speed of the boat in still water.
Conclusion
By following the steps and calculations, you will arrive at the speed of the boat in still water. Ensure to verify your calculations for accuracy.
To solve the problem, we need to determine the speed of the boat in still water based on the given conditions of speed and time taken.
Key Variables
- Let the speed of the boat in still water be "b" km/h.
- Let the speed of the current be "c" km/h.
- The upstream speed = (b - c) km/h.
- The downstream speed = (b + c) km/h.
Distance and Time
- Assume the total distance upstream is "D" km.
- The boat covers half the distance upstream (D/2) at its usual speed (b - c).
- The remaining half (D/2) at double its usual speed, which is 2(b - c).
Time Calculation
- Time taken for the first half:
Time1 = (D/2) / (b - c)
- Time taken for the second half:
Time2 = (D/2) / (2(b - c))
- Total time with the new speed:
Total Time = Time1 + Time2
Usual Time Comparison
- Usual time to cover D upstream:
Usual Time = D / (b - c)
- Given that the new time is 33 3/4 hours less:
Usual Time - Total Time = 33 3/4 hours
Setting Up the Equation
Convert 33 3/4 hours to a fraction:
33 3/4 = 33.75 hours.
Now, we can set up the equation:
D / (b - c) - [ (D/2) / (b - c) + (D/2) / (2(b - c)) ] = 33.75
Simplify and solve for "b" and "c".
Final Steps
- Rearrange the equation to isolate "b".
- Use assumed values or relations for "c" if needed.
- Solve the equation to find the speed of the boat in still water.
Conclusion
By following the steps and calculations, you will arrive at the speed of the boat in still water. Ensure to verify your calculations for accuracy.
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Own Wednesday if the boat covered half distance upstream with usual speed and other half with the double it speed then its take 33 Sahi 3/4 hours less time then the usual time to go upstream find the speed of the boat in still water?
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Own Wednesday if the boat covered half distance upstream with usual speed and other half with the double it speed then its take 33 Sahi 3/4 hours less time then the usual time to go upstream find the speed of the boat in still water? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Own Wednesday if the boat covered half distance upstream with usual speed and other half with the double it speed then its take 33 Sahi 3/4 hours less time then the usual time to go upstream find the speed of the boat in still water? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Own Wednesday if the boat covered half distance upstream with usual speed and other half with the double it speed then its take 33 Sahi 3/4 hours less time then the usual time to go upstream find the speed of the boat in still water?.
Own Wednesday if the boat covered half distance upstream with usual speed and other half with the double it speed then its take 33 Sahi 3/4 hours less time then the usual time to go upstream find the speed of the boat in still water? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Own Wednesday if the boat covered half distance upstream with usual speed and other half with the double it speed then its take 33 Sahi 3/4 hours less time then the usual time to go upstream find the speed of the boat in still water? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Own Wednesday if the boat covered half distance upstream with usual speed and other half with the double it speed then its take 33 Sahi 3/4 hours less time then the usual time to go upstream find the speed of the boat in still water?.
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