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A man travelled 30%of his journey at a speed of 85 kmph and the rest of his journey at a speed of 33 kmph. find his average speed throughout the journey?
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A man travelled 30%of his journey at a speed of 85 kmph and the rest o...
Understanding the Journey
To find the average speed of the man throughout his journey, we need to consider the entire distance and the total time taken.
Journey Breakdown
- The man travels 30% of the journey at 85 kmph.
- The remaining 70% of the journey is at 33 kmph.
Calculating Distances
- Let the total distance be D km.
- Distance traveled at 85 kmph = 0.3D km.
- Distance traveled at 33 kmph = 0.7D km.
Calculating Time for Each Segment
- Time for the first part (30%):
- Time = Distance / Speed = (0.3D) / (85) = 0.003529D hours.
- Time for the second part (70%):
- Time = Distance / Speed = (0.7D) / (33) = 0.021212D hours.
Total Time for the Journey
- Total time = Time for first part + Time for second part
- Total time = 0.003529D + 0.021212D = 0.024741D hours.
Calculating Average Speed
- Average Speed = Total Distance / Total Time
- Average Speed = D / (0.024741D) = 1 / 0.024741 kmph.
Final Calculation
- Average Speed ≈ 40.4 kmph.
Conclusion
The average speed of the man throughout his journey is approximately 40.4 kmph. This calculation accounts for the different speeds and distances traveled during the trip.
To find the average speed of the man throughout his journey, we need to consider the entire distance and the total time taken.
Journey Breakdown
- The man travels 30% of the journey at 85 kmph.
- The remaining 70% of the journey is at 33 kmph.
Calculating Distances
- Let the total distance be D km.
- Distance traveled at 85 kmph = 0.3D km.
- Distance traveled at 33 kmph = 0.7D km.
Calculating Time for Each Segment
- Time for the first part (30%):
- Time = Distance / Speed = (0.3D) / (85) = 0.003529D hours.
- Time for the second part (70%):
- Time = Distance / Speed = (0.7D) / (33) = 0.021212D hours.
Total Time for the Journey
- Total time = Time for first part + Time for second part
- Total time = 0.003529D + 0.021212D = 0.024741D hours.
Calculating Average Speed
- Average Speed = Total Distance / Total Time
- Average Speed = D / (0.024741D) = 1 / 0.024741 kmph.
Final Calculation
- Average Speed ≈ 40.4 kmph.
Conclusion
The average speed of the man throughout his journey is approximately 40.4 kmph. This calculation accounts for the different speeds and distances traveled during the trip.
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A man travelled 30%of his journey at a speed of 85 kmph and the rest of his journey at a speed of 33 kmph. find his average speed throughout the journey?
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A man travelled 30%of his journey at a speed of 85 kmph and the rest of his journey at a speed of 33 kmph. find his average speed throughout the journey? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A man travelled 30%of his journey at a speed of 85 kmph and the rest of his journey at a speed of 33 kmph. find his average speed throughout the journey? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man travelled 30%of his journey at a speed of 85 kmph and the rest of his journey at a speed of 33 kmph. find his average speed throughout the journey?.
A man travelled 30%of his journey at a speed of 85 kmph and the rest of his journey at a speed of 33 kmph. find his average speed throughout the journey? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A man travelled 30%of his journey at a speed of 85 kmph and the rest of his journey at a speed of 33 kmph. find his average speed throughout the journey? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man travelled 30%of his journey at a speed of 85 kmph and the rest of his journey at a speed of 33 kmph. find his average speed throughout the journey?.
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