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Ram while driving to school has an average speed of 20 km/h. While returning from his school his average speed was 30 km/h. What is his average speed for the whole path or journey ?
Most Upvoted Answer
Ram while driving to school has an average speed of 20 km/h. While ret...
Calculating Average Speed
To calculate Ram's average speed for the whole journey, we need to use the formula:
Average speed = Total distance / Total time
Calculating Total Distance
We know that Ram travels to school and back, so the total distance covered is:
Total distance = Distance to school + Distance from school
We can assume that the distance to school and the distance from school are the same, so:
Total distance = 2 x Distance to school
Calculating Time
To calculate the time taken for the journey, we need to use the formula:
Time = Distance / Speed
For the journey to school, the time taken is:
Time to school = Distance to school / Speed to school
For the journey from school, the time taken is:
Time from school = Distance from school / Speed from school
The total time taken for the journey is:
Total time = Time to school + Time from school
Calculating Average Speed
Now that we have calculated the total distance and the total time taken, we can calculate the average speed for the whole journey using the formula:
Average speed = Total distance / Total time
Substituting the values we have calculated:
Average speed = 2 x Distance to school / (Distance to school / Speed to school + Distance to school / Speed from school)
Simplifying the equation:
Average speed = 2 x Speed to school x Speed from school / (Speed to school + Speed from school)
Therefore, Ram's average speed for the whole journey is:
Average speed = 2 x 20 x 30 / (20 + 30) = 24 km/h
Explanation
Ram's average speed for the whole journey is 24 km/h which is the harmonic mean of his speeds to school and from school. This is because the time taken to travel to school and from school is different due to the different speeds. Therefore, the harmonic mean is used to calculate the average speed.
To calculate Ram's average speed for the whole journey, we need to use the formula:
Average speed = Total distance / Total time
Calculating Total Distance
We know that Ram travels to school and back, so the total distance covered is:
Total distance = Distance to school + Distance from school
We can assume that the distance to school and the distance from school are the same, so:
Total distance = 2 x Distance to school
Calculating Time
To calculate the time taken for the journey, we need to use the formula:
Time = Distance / Speed
For the journey to school, the time taken is:
Time to school = Distance to school / Speed to school
For the journey from school, the time taken is:
Time from school = Distance from school / Speed from school
The total time taken for the journey is:
Total time = Time to school + Time from school
Calculating Average Speed
Now that we have calculated the total distance and the total time taken, we can calculate the average speed for the whole journey using the formula:
Average speed = Total distance / Total time
Substituting the values we have calculated:
Average speed = 2 x Distance to school / (Distance to school / Speed to school + Distance to school / Speed from school)
Simplifying the equation:
Average speed = 2 x Speed to school x Speed from school / (Speed to school + Speed from school)
Therefore, Ram's average speed for the whole journey is:
Average speed = 2 x 20 x 30 / (20 + 30) = 24 km/h
Explanation
Ram's average speed for the whole journey is 24 km/h which is the harmonic mean of his speeds to school and from school. This is because the time taken to travel to school and from school is different due to the different speeds. Therefore, the harmonic mean is used to calculate the average speed.
Community Answer
Ram while driving to school has an average speed of 20 km/h. While ret...
Average speed = total distance / total time... suppose distance between home to scoohk is D..... ==> t1 = D / V1 & t2= D / V2 ===> Average speed = D + D / t1 + t2===> = 2 D / [ ( D / V1 ) + ( D / V2 ) ] = 2 / [ ( 1 / 20 ) + ( 1/ 30 ) ] = 2 * 600 / 50 = 1200 / 50 = 24 km / hr IS THE YOUR ANSWERR... 💯💯💯
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Ram while driving to school has an average speed of 20 km/h. While returning from his school his average speed was 30 km/h. What is his average speed for the whole path or journey ?
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Ram while driving to school has an average speed of 20 km/h. While returning from his school his average speed was 30 km/h. What is his average speed for the whole path or journey ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Ram while driving to school has an average speed of 20 km/h. While returning from his school his average speed was 30 km/h. What is his average speed for the whole path or journey ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram while driving to school has an average speed of 20 km/h. While returning from his school his average speed was 30 km/h. What is his average speed for the whole path or journey ?.
Ram while driving to school has an average speed of 20 km/h. While returning from his school his average speed was 30 km/h. What is his average speed for the whole path or journey ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Ram while driving to school has an average speed of 20 km/h. While returning from his school his average speed was 30 km/h. What is his average speed for the whole path or journey ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram while driving to school has an average speed of 20 km/h. While returning from his school his average speed was 30 km/h. What is his average speed for the whole path or journey ?.
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