Question

A policeman goes after a thief who has 100 meters start. If the policeman runs a kilometer in 8 minutes, and the thief a kilometer in 10 minutes, how far will the thief have gone before he is overtaken?

Answer 1

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Answer 2

Answer:

The Police outruns the thief in 4 Minutes.

Explanation:

First we should see the speed of the Police and the Thief of per minute

We find that:

Police runs 125 Metres per Minute.

Thief runs 100 Metres per Minute.

So:

1. Police has covered 125 Metres in first minute and the Thief has covered 200 Metres in first minute. (Thief is ahead of Police about the distance of 100 Metres.)
2. Police has covered 250 Metres in second minute and the Thief has covered 300 Metres in second minute.
3. Police has covered 375 Metres in third minute and the Thief has covered 400 Metres in third minute.
4. Police has covered 500 Metres in fourth minute and the Thief has covered 500 Metres in fourth minute.

So the Police outruns the Thief in 4 minutes.