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101mba101
Can someone please explain this question in detail?

Thanks!

bimalr9
Height, to which a ball reaches, reduces to the same ratio after each bounce. It is dropped from a height of 100 feet and after 2 bounces it reaches to a height of 25 feet. What is the factor to which height is reduced after each bounce?


I didn't find this question here. What does "Height, to which a ball reaches, reduces to the same ratio after each bounce" imply?

The ball is dropped from a certain height, let's say h, and after touching the ground, bounced back to height, let's say x

Next time the ball comes down from the height x, and after touching the ground, bounced back to height, let's say y

Then as per the question, \(\frac{x}{h} = \frac{y}{x}\)

The value of this ratio gets maintained for every to-and-fro movement of the ball towards the ground and back

Edit: check similar question https://gmatclub.com/forum/a-ball-drops-from-a-certain-height-the-height-it-will-reach-after-reb-234726.html#p1810359
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Got it now. Thanks a lot!

EgmatQuantExpert
101mba101
Can someone please explain this question in detail?

Thanks!

bimalr9
Height, to which a ball reaches, reduces to the same ratio after each bounce. It is dropped from a height of 100 feet and after 2 bounces it reaches to a height of 25 feet. What is the factor to which height is reduced after each bounce?


I didn't find this question here. What does "Height, to which a ball reaches, reduces to the same ratio after each bounce" imply?

The ball is dropped from a certain height, let's say h, and after touching the ground, bounced back to height, let's say x

Next time the ball comes down from the height x, and after touching the ground, bounced back to height, let's say y

Then as per the question, \(\frac{x}{h} = \frac{y}{x}\)

The value of this ratio gets maintained for every to-and-fro movement of the ball towards the ground and back

Edit: check similar question https://gmatclub.com/forum/a-ball-drops-from-a-certain-height-the-height-it-will-reach-after-reb-234726.html#p1810359
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(Final height / initial height)^(1/2) (to the power of half (or square root) because we want to count 2 bounces)
(25/100)^(1/2) = 1/2
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