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A certain ball was dropped from a window 8 meters above a sidewalk. On each bounce, it rose straight up exactly one-half

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by Gmat_mission » Sun Jun 21, 2020 3:36 pm
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A certain ball was dropped from a window 8 meters above a sidewalk. On each bounce, it rose straight up exactly one-half the distance of the previous fall. After the third bounce, the ball was caught when it reached a height of exactly 1 meter above the sidewalk. How many meters did the ball travel in all?

(A) 21
(B) 19
(C) 17
(D) 15
(E) 13

[spoiler]OA=A[/spoiler]

Source: GMAT Paper Tests
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Re: A certain ball was dropped from a window 8 meters above a sidewalk. On each bounce, it rose straight up exactly one-

by Brent@GMATPrepNow » Mon Jun 22, 2020 6:25 am
Gmat_mission wrote: ↑
Sun Jun 21, 2020 3:36 pm
 A certain ball was dropped from a window 8 meters above a sidewalk. On each bounce, it rose straight up exactly one-half the distance of the previous fall. After the third bounce, the ball was caught when it reached a height of exactly 1 meter above the sidewalk. How many meters did the ball travel in all?

(A) 21
(B) 19
(C) 17
(D) 15
(E) 13

[spoiler]OA=A[/spoiler]

Source: GMAT Paper Tests
Drop 8 meters
Rise 4 meters
Drop 4 meters
Rise 2 meters
Drop 2 meters
Rise 1 meters (DONE!)

8 + 4 + 4 + 2 + 2 + 1 = 21 meters

Answer: A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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