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The tyre of a car made an average of 500 revolutions per minute in a particular trip. If the radius of the tyre was 10 centimeters and the car was driven for 1 hour without any stoppages, approximately how much distance in kilometers was covered in the trip?
  • a)
    15
  • b)
    17
  • c)
    19
  • d)
    21
  • e)
    23
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The tyre of a car made an average of 500 revolutions per minute in a p...
Given
  • Average revolutions made by a car = 500 per minute
  • Radius of car = 10 centimeters
  • Time for which car was driven = 1 hour
To Find: Total distance covered by the car in kilometers?
Approach
  1. (Total distance covered by the car in 1 hour) = (Total distance covered by a wheel of the car in 1 hour)
     
  2. (Total distance covered by a wheel of the car in 1 hour) = (Number of revolutions of the wheel in 1 hour) * (distance covered in each revolution, in kilometers)
     
  3. (Number of revolutions of the wheel in 1 hour) = (revolutions per minute) * (number of minutes in 1 hour)
    1. Number of minutes in 1 hour = 60 minutes
       
  4. Distance covered in each revolution = 2πr, where r is the radius of the tyre (in cenimeters)
  5. After calculating the total distance covered, we need to convert it into kilometers
 
Working Out
  1. Distance covered in each revolution = 2πr = 20π
     
  2. Total number of revolutions in 1 hour = 500 * 60 = 30000
     
  3. Total distance covered in 1 hour = 30000 * 20π centimeters
     
  4. However, we need to find the distance covered in kilometers
 
  1. So, total distance covered in kilometers = 
  2. As π = 3.14, 6π ~19 kilometers
Answer: C
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Most Upvoted Answer
The tyre of a car made an average of 500 revolutions per minute in a p...
Given information:
- The tyre of a car made an average of 500 revolutions per minute.
- The radius of the tyre was 10 centimeters.
- The car was driven for 1 hour without any stoppages.

To find:
- Approximately how much distance in kilometers was covered in the trip.

Solution:
First, we need to find the distance covered by the car in one revolution of the tyre. This can be calculated using the formula:
Distance covered in one revolution = 2πr
Where r is the radius of the tyre.
Distance covered in one revolution = 2 × 3.14 × 10 = 62.8 centimeters

Next, we need to find the distance covered by the car in one minute. As the tyre makes 500 revolutions per minute, the distance covered by the car in one minute can be calculated as:
Distance covered in one minute = 500 × 62.8 = 31400 centimeters or 314 meters

Finally, we need to find the distance covered by the car in one hour. As the car was driven for 1 hour without any stoppages, the distance covered by the car in one hour can be calculated as:
Distance covered in one hour = 314 × 60 = 18840 meters or 18.84 kilometers (approx.)

Therefore, the correct answer is option C (19).
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The tyre of a car made an average of 500 revolutions per minute in a particular trip. If the radius of the tyre was 10 centimeters and the car was driven for 1 hour without any stoppages, approximately how much distance in kilometers was covered in the trip?a)15b)17c)19d)21e)23Correct answer is option 'C'. Can you explain this answer?
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