A policeman saw a thief at a distance of 800m. When the policeman started chasing the thief, the thief started running. If the ratio of the speeds of the policeman to the thief is 3:2, then the distance travelled by the policeman to catch the thief is
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Correct answer: A
Explanation
The correct answer is option 1 i.e 2.4 km.
Distance between policeman and thief = 800 meters
Speed ratio (Policeman : Thief) = 3 : 2
Let the speeds be: Policeman = 3 units, Thief = 2 units
Relative speed = 3 - 2 = 1 unit
Time to catch the thief = 800 / 1 = 800 units of time
Distance travelled by the policeman = 800 × 3 = 2.4 km