A Police officer sees a chain snatcher and runs to catch her from a distance of 50 metres. When the Police officer starts chasing the chain snatcher from a distance of 50 metres, the chain snatcher is running @ 2 metres per second. At the same time the Police Officer is chasing the chain snatcher @ 4 metres per second.
Find the distance covered by the chain snatcher when the Police Officer shall be able to successfully catch her?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 50 metres
When two people run in the same direction, the gap between them closes at the difference of their speeds (the relative speed).
Relative speed \(=4-2=2\) m/s, so the 50 m gap closes by 2 m every second
Time to catch her \(=50\div2=25\) s
In these 25 s the chain snatcher runs \(2\times25=50\) m