Given: In D ABC where D is the midpoint of BC, E is the midpoint AD.
BE produced meets AC at X. To Prove: BE : EX = 3:1
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Solution:
The distance covered by the policeman in 12 sec s = ut + 1/2 at2 = 0 x12 + 0.5 x3 x 12x12 = 216m v = u + at = 0 + 12x3 = 36m/s The distance covered by the robber in 12 sec s = 20 x 12 = 240m Suppose he over takes in 12 + t sec, in which he travels = 216 + 36 * t r robbers will travel in the same time 20 * ( 12+t) m 216 + 36 t = 240 + 20 t t = 24 / 16 = 1.5 s Distance travelled by policeman in 12 + 1.5 = 13.5 s = 216 + 36 x 1.5 = 270 m 
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