Question : A policeman follows a thief who is 600 m ahead of the policeman. If the policeman and the thief run at speeds of 10 km/hr and 8 km/hr, respectively, in how much time (in minutes), will the policeman catch the thief?
Option 1: 16
Option 2: 14
Option 3: 18
Option 4: 12
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Correct Answer: 18
Solution :
Given: Speed of the policeman = 10 km/hr
Speed of the thief = 8 km/hr
The relative speed of the policeman to the thief = (10 – 8) = 2 km/hr
2 km/h = $2×\frac{1000}{60}=\frac{100}{3}$ m/min
Relative distance to be covered by policeman = 600 m
We know, Time = $\frac{\text{Distance}}{\text{Speed}}$
$\therefore$ Time taken by policeman to catch the thief = $\frac{600}{\frac{100}{3}}=18$ minutes
Hence, the correct answer is 18.
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