To conduct a sport activities, in a rectangular shaped school ground $ABCD$, lines have been drawn with chalk powder at a distance of $1$ m each. $100$ flower pots have been placed at a distance of $1$ m height from each other along AD, as shown in figure. Child A runs $\frac{1}{4}$th the distance AD on the 2nd line and post a green flag. Child B runs $\frac{1}{5}$th the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Child C has to post a blue flag exactly halfway between the line segment joining the two flags, where should Child C post the flag?
