Math, asked by annanyaaaa, 1 year ago

A theif runs away from a police station with a uniform speed of 100m/min.. After one minute , a police man runs behind the theif to catch him. He goes at a speed of 100m/ min.in the first minute and increases his speed by 10m/min. In each succeeding minute. After how many minutes will the police man catch the theif?

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Answered by shabanakhoyee

Answer:

Step-by-step explanation:

Hope this helps:))

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shabanakhoyee: Sorry I took wrong picture

shabanakhoyee: Let total time 2 catch the thief be n minutes

shabanakhoyee: Total distance covered= 100n metres

shabanakhoyee: Total distance covered by policeman =100+110+120+130+.....(n-1)terms

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

shabanakhoyee: n^2-3n-18=0

shabanakhoyee: n=6,-3

shabanakhoyee: Hence the policeman will catch the thie after 6 minutes

Answered by shameemamk

Please see the attached answer

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