Question : A thief robs precious metals from a store that is 1150 m away from the police. The thief starts running at 6 km/h and the police start chasing at 11 km/h at the same time. How much distance (in m) will the thief run before being caught?
Option 1: 1485
Option 2: 1380
Option 3: 1125
Option 4: 1280
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Correct Answer: 1380
Solution :
The thief is running at a speed of 6 km/h and the police are chasing at a speed of 11 km/h.
The relative speed of the police concerning the thief is (11 – 6) km/h = 5 km/h.
The initial distance between the thief and the police is 1150 m = 1.15 km.
Time taken by police to catch the thief = $\frac{\text{Relative Distance}}{{\text{Relative Speed}}}$
= $\frac{1.15}{5}$ = 0.23 hours
The distance run by the thief
Distance = Speed × Time
Distance = 6 km/h × 0.23 hours = 1.38 km
So, the answer is 1.38 km or 1380 metres.
Hence, the correct answer is 1380.
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