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An inspector is 228 meter behind the thief. The inspector runs 42 meters and the thief runs 30 meters in a minute. In what time will the inspector catch the thief?
  • a)
    19 minutes
  • b)
    20 minutes
  • c)
    18 minutes
  • d)
    21 minutes
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An inspector is 228 meter behind the thief. The inspector runs 42 mete...
inspector s 228 meter behind the thief and now after some x distance he will catch the thief. So,
x/30 = (228 + x)/42, we will get x = 570m
so time taken by inspector to catch the thief = (228+570)/42 = 19 minutes
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Most Upvoted Answer
An inspector is 228 meter behind the thief. The inspector runs 42 mete...
Given information:
- Distance between inspector and thief = 228 meters
- Speed of inspector = 42 meters/minute
- Speed of thief = 30 meters/minute

To find: Time taken by inspector to catch the thief

Approach:
Let's assume that the inspector catches the thief after 't' minutes. In this time, the inspector covers a distance of 42t meters while the thief covers a distance of 30t meters. We know that the distance between them is 228 meters. So, we can form the following equation:

42t - 30t = 228
12t = 228
t = 19

Therefore, the inspector will catch the thief after 19 minutes.

Answer: Option (a) 19 minutes
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Community Answer
An inspector is 228 meter behind the thief. The inspector runs 42 mete...
228/12
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An inspector is 228 meter behind the thief. The inspector runs 42 meters and the thief runs 30 meters in a minute. In what time will the inspector catch the thief?a)19 minutesb)20 minutesc)18 minutesd)21 minutese)None of theseCorrect answer is option 'A'. Can you explain this answer?
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