Question : A thief seeing a policeman from a distance of 300 m starts running at a speed of 10 km/h. The policeman gives chase immediately at a speed of 12 km/h and the thief is caught. What is the distance run by the thief?
Option 1: 2 km
Option 2: 2.5 km
Option 3: 3.2 km
Option 4: 1.5 km
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Correct Answer: 1.5 km
Solution :
The distance between the thief and the policeman = 300 m = 0.3 km
The speed of a thief = 10 km/h.
The speed of a policeman = 12 km/h.
The relative speed = 12 – 10 = 2 km/h.
$\text{Time}=\frac{\text{Distance}}{{\text{Speed}}}$
The time = $\frac{0.3}{2}$ = 0.15 hrs
The thief is running at a speed of 10 km/h.
The distance run by the thief = 0.15 × 10 = 1.5 km
Hence, the correct answer is 1.5 km.
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