Question

A thief runs with a uniform speed of 100 m/minute. After one minute, a policeman runs after the thief to catch him. He goes with a speed of 100 m/minute in the 1st minute and increases speed by 10 m/minute every succeeding minute. After how many minute the policeman will catch the thief?

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Let total time be n minutes

Total dist. Covered by thief =(100n) metres

Total dist. Covered by policeman =100+110+120+130+.....+(n-1) terms

100n = n-1/2 [200+(n-2)10]

n^2-3n-18=0

(n-6)(n+3)=0

n=6

Hence policeman took minutes to catch the thief as policeman took (n-1) minutes to catch.