A policeman at rest accelerated his bike with 2 metres per second square to catch the thief ,10 metres distant from him. If the thief running with constant speed 3 metres per second , then how much time the police man will take to catch the thief?

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Q. A thief runs with the uniform speed of 50m/min. After 2 minutes a policemen runs after the thief to catch him. He goes 60 metres in first minute and increase his speed by 5m/min every succeeding minute. After how many min the policemen will catch the thief.

I got the answer as : the policeman will catch the thief when the thief will be at 350 metres and it will take 5 minutes .
I got the answer by writing in AP, i.e,
for thief ->100,150,200,250,300,350
for policeman->60,125,195,270,350.
I am not able to put it in the formula.

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