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A car is moving on a circular track of radius r metres. Its average speed (in metres/minute) is πr during the first 30 seconds, πr/2 during next one minute, πr/4 during next 2 minutes, πr/8 during next 4 minutes, and so on. What is the time taken by the car to complete the 10th round? 
  • a)
    (169 x 7.5) minutes
  • b)
    (49 x 75) minutes
  • c)
    19278 minutes
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A car is moving on a circular track of radius r metres. Its average sp...
Let πr = x.
The circumference of the circular path = 2x.
The car covers 2x metres in one round.
The time taken to complete each round is given in the table below:

Thus, we see that the ratio of time taken for the 2nd round to that for the 1st round = 16.
Similarly, ratio of time taken for the 3rd round to that for the 2nd round = 16 and so on.
Time taken to complete the 10th round will be (169 x 7.5) minutes. 
Hence, option 1.
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A car is moving on a circular track of radius r metres. Its average sp...
Not enough information is provided to determine the average speed.
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A car is moving on a circular track of radius r metres. Its average speed (in metres/minute) is πr during the first 30 seconds, πr/2 during next one minute, πr/4 during next 2 minutes, πr/8 during next 4 minutes, and so on. What is the time taken by the car to complete the 10th round?a)(169 x 7.5) minutesb)(49 x 75)minutesc)19278 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer?
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