Question

give this answers fast​

Answer 1

Let total time be 'n' minutes

total distance covered by thief =100n meters.

total distance covered by policeman = 100+110+120+.....+(n-1) terms

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

200n=(n-1)(180+10n)

10n²-30n-180=0

n²-3n-18=0

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

n=-3 or n=6

since time can't be negative

so n=6

therefore the police took (n-1)=(6-1)=5 minutes to catch the thief.