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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 in ratio?
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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 calculate the average speed of the entire journey, we need to consider the distances traveled at each speed and the time taken for each segment.
Distance Breakdown
- Let's assume the total distance of the journey is 100 km.
- 30% of the journey:
- Distance = 30% of 100 km = 30 km
- 70% of the journey:
- Distance = 70% of 100 km = 70 km
Calculating Time Taken
- Time for the first segment (30 km at 85 km/h):
- Time = Distance / Speed
- Time = 30 km / 85 km/h = 30/85 hours = 6/17 hours
- Time for the second segment (70 km at 33 km/h):
- Time = 70 km / 33 km/h = 70/33 hours
Total Time Taken
- Total Time:
- Total Time = Time for first segment + Time for second segment
- Total Time = (6/17) + (70/33)
To simplify, find a common denominator and calculate the total time.
Average Speed Calculation
- Average Speed Formula:
- Average Speed = Total Distance / Total Time
- Total Distance:
- The total distance is 100 km.
After calculating the total time and substituting it into the average speed formula, we can determine the average speed.
Final Ratio of Average Speed
- The average speed can also be expressed as a ratio. For example, if the average speed is calculated as approximately 40 km/h, it can be simplified in ratio form with respect to the speeds of the segments.
In conclusion, using the calculated values, you can express the average speed throughout the journey in a simplified ratio format.
To calculate the average speed of the entire journey, we need to consider the distances traveled at each speed and the time taken for each segment.
Distance Breakdown
- Let's assume the total distance of the journey is 100 km.
- 30% of the journey:
- Distance = 30% of 100 km = 30 km
- 70% of the journey:
- Distance = 70% of 100 km = 70 km
Calculating Time Taken
- Time for the first segment (30 km at 85 km/h):
- Time = Distance / Speed
- Time = 30 km / 85 km/h = 30/85 hours = 6/17 hours
- Time for the second segment (70 km at 33 km/h):
- Time = 70 km / 33 km/h = 70/33 hours
Total Time Taken
- Total Time:
- Total Time = Time for first segment + Time for second segment
- Total Time = (6/17) + (70/33)
To simplify, find a common denominator and calculate the total time.
Average Speed Calculation
- Average Speed Formula:
- Average Speed = Total Distance / Total Time
- Total Distance:
- The total distance is 100 km.
After calculating the total time and substituting it into the average speed formula, we can determine the average speed.
Final Ratio of Average Speed
- The average speed can also be expressed as a ratio. For example, if the average speed is calculated as approximately 40 km/h, it can be simplified in ratio form with respect to the speeds of the segments.
In conclusion, using the calculated values, you can express the average speed throughout the journey in a simplified ratio format.
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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 in ratio?
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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 in ratio? 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 in ratio? 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 in ratio?.
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 in ratio? 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 in ratio? 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 in ratio?.
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