# A thief runs from a police station at a uniform speed of 100m per.after 1 minute a policeman runs behind the thief to catch him.he goes at a speed of 8m/minute in the first minute and increases his speed by 10m/minute in each succeeding minute.after how many minutes will the policeman catch the thief

1
by bhatiashreya14

• qais
• Content Quality
2016-01-09T12:15:02+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let us suppose after t min policeman will catch the thief.
Then the distance travelled by policeman and thief will be same.
distance travelled by thief = 100t
now, for policeman,
distance = 8+ 18 +28 +38 +..... to t terms
sum= (t/2)(2×8 +(t -1)10)
A/q,
(t/2)(2×8 +(t -1)10) = 100t
⇒16 +(t -1)10 =200
⇒10t -10 =184
⇒10t =194
t = 19.4min
or time = 19min 24sec