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To conduct Sports Day activities, in your rectangular shaped school ground \(ABCD\), lines have been drawn with chalk powder at a distance of \(1m\) each. \(100\) flower pots have been placed at a distance of \(1m\) from each other along \(AD\), as shown in Figure. Niharika runs \(\frac{1}{4}^{\text{th}}\) the distance \(AD\) on the \(2nd\) line and posts a green flag. Preet runs \(\frac{1}{5}^{\text{th}}\) the distance \(AD\) on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
Rashmi should post her blue flag at \(m\) on fifth line.