A policeman noticed a thief at a distance of 500 metres. The policeman started running and the thief also started running at the same time. The thief is running at a speed of 15 km/h. It took 15 minutes for the policeman to catch the thief. Find the speed of the policeman (in km/h).

Options
a) 10
b) 11
c) 12
d) 17

Solution

As per question
Distance = 500 m
Time = 15 min.
Relative speed = \frac{Distance}{Time}
Relative speed = \dfrac{ \frac{500}{1000}}{ \frac{15}{60}} = \frac{500 \times 60}{1000 \times 15} = 2 km/h
Speed of policeman = speed of thief + Relative speed
Speed of policeman = 15 + 2 = 17 km/h

Answer: 17 Km/h

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