Question : A policeman noticed a thief from 300 m. The thief started running and the policeman was chasing him. The thief and the policeman ran at speeds of 8 km/h and 9 km/h, respectively. What was the distance between them after 3 minutes?
Option 1: 225 m
Option 2: 250 m
Option 3: 300 m
Option 4: 200 m
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Correct Answer: 250 m
Solution : Given: Distance between the policeman and the thief = 300 m Speed of the policeman = 9 km//h = $9×\frac{5}{18}=\frac{5}{2}$ m/s Speed of the thief = 8 km//h = $8×\frac{5}{18}=\frac{20}{9}$ m/s Relative speed of the policeman and the thief = 9 – 8 = 1 km/h = $1×\frac{5}{18}=\frac{5}{18}$ m/s Gap reduced after 3 minutes = $\frac{5}{18}×180$ = 50 m The distance between them after 3 minutes = 300 – 50 = 250 m Hence, the correct answer is 250 m.
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