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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 ...
Understanding the Journey
To calculate the average speed of the entire journey, we need to consider the distances traveled at both speeds. Let's break it down step by step.
Distance and Speed Breakdown
- Total Journey Distance (D): Let's assume the total distance of the journey is 100 km (this simplifies calculations).
- Distance at 85 kmph:
- 30% of the journey = 30 km (0.30 * 100 km)
- Distance at 33 kmph:
- Remaining distance = 70 km (100 km - 30 km)
Time Calculation
- Time for First Segment:
- Time = Distance / Speed
- Time for 30 km at 85 kmph = 30 / 85 = 0.3529 hours (approximately)
- Time for Second Segment:
- Time for 70 km at 33 kmph = 70 / 33 = 2.1212 hours (approximately)
Total Time Taken
- Total Time = Time for First Segment + Time for Second Segment
- Total Time = 0.3529 + 2.1212 = 2.4741 hours (approximately)
Average Speed Calculation
- Average Speed Formula:
- Average Speed = Total Distance / Total Time
- Average Speed = 100 km / 2.4741 hours ≈ 40.4 kmph
Conclusion
The average speed of the man throughout his journey is approximately 40.4 kmph. This calculation showcases how different speeds over varying distances affect overall travel time and average speed.
To calculate the average speed of the entire journey, we need to consider the distances traveled at both speeds. Let's break it down step by step.
Distance and Speed Breakdown
- Total Journey Distance (D): Let's assume the total distance of the journey is 100 km (this simplifies calculations).
- Distance at 85 kmph:
- 30% of the journey = 30 km (0.30 * 100 km)
- Distance at 33 kmph:
- Remaining distance = 70 km (100 km - 30 km)
Time Calculation
- Time for First Segment:
- Time = Distance / Speed
- Time for 30 km at 85 kmph = 30 / 85 = 0.3529 hours (approximately)
- Time for Second Segment:
- Time for 70 km at 33 kmph = 70 / 33 = 2.1212 hours (approximately)
Total Time Taken
- Total Time = Time for First Segment + Time for Second Segment
- Total Time = 0.3529 + 2.1212 = 2.4741 hours (approximately)
Average Speed Calculation
- Average Speed Formula:
- Average Speed = Total Distance / Total Time
- Average Speed = 100 km / 2.4741 hours ≈ 40.4 kmph
Conclusion
The average speed of the man throughout his journey is approximately 40.4 kmph. This calculation showcases how different speeds over varying distances affect overall travel time and average speed.
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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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