A ''super ball'' is dropped from a window 16 meters above the ground. On each bounce it rises 3/4 the distance of the preceding high point. The ball is caught when it reached the high point after hitting the ground for the third time. To the nearest meter, how far has it travelled?
First time it hits it has travelled 16 m
then it travels up 3/4 of this and back down the same amount
12 + 12
then it hits the second time
and travels up 3/4 of 12 and back down the same amount
9 + 9
Then it hits the ground the third time and travels up 3/4 of 9 and is caught
16 + 12 + 12 + 9+ 9 + 3/4 (9) = ......... meters