Latest Other Aptitude Question SOLUTION: One ball was dropped from 8ft height and every time it goes half of the height. How much distance it will travel before coming to rest ?

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One ball was dropped from 8ft height and every time it goes half of the height. How much distance it will travel before coming to rest ?

Asked In Other ajay namdev (10 years ago)

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santhi   (10 years ago)

24ft
reason:
=8+2(4+2+1+...)
=8+2(8)
=24ft

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BRAJ   (8 years ago)

Total distance covered =
8 ft + 8 ft + 4 ft + 2 ft + ....
= 8 ft + (8 ft + 4 ft + 2 ft + ....)
= 8 ft + S
S is the sum of an infinite geometric series with first term 8 ft and common ratio 1/2.
S = 8/(1 - 1/2) = 8/(1/2) = 16 ft
Total distance covered = 8 ft + 16 ft = 24 ft

Ans: 24 ft

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