On a windless day, two identical balls P and Q are dropped from the top and the middle of a tower at exactly the same time as shown. Which will be more: the time taken by P to reach the middle of the tower, or the time taken by Q to reach the ground?

Answer: time is the same

Explanation: the distance (H) is the same in each case.

we drop the balls, no drag force using basic kimnematics

y = gt*t/2, yo=0, vo=0, y=H, so : t = sqrt (2H/g)

comment: if distance H starts to grow ... we could begin to note a difference because of gravity g is smaller as we go up