Question : An inspector is 288 metres behind a thief. The inspector runs 42 metres and the thief runs 30 metres in a minute. In how much time will the inspector catch the thief?
Option 1: 24 minutes
Option 2: 19 minutes
Option 3: 21 minutes
Option 4: 20 minutes
Correct Answer: 24 minutes
Solution :
The inspector and the thief are running at different speeds. The inspector runs 42 metres per minute, while the thief runs 30 metres per minute.
Therefore, the inspector gains on the thief by 42 – 30 = 12 metres per minute
The inspector is initially 288 metres behind the thief.
$\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{288 \text{ metres}}{12 \text{ metres per minute}} = 24 \text{ minutes}$
Hence, the correct answer is 24 minutes.
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