A basketball is dropped from a height of 20 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 3 full bounces.

(A) 50

(B) 55

(C) 60

(D) 75

(E) 80

Answer: B

Source: EMPOWERgmat

## A basketball is dropped from a height of 20 feet. If it bounces back up to a height that is exactly half of its previous

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Since there are only 3 bounces involved, let's just list and add the distances.VJesus12 wrote: ↑Sun Dec 06, 2020 8:10 amA basketball is dropped from a height of 20 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 3 full bounces.

(A) 50

(B) 55

(C) 60

(D) 75

(E) 80

Answer: B

Source: EMPOWERgmat

Drop 20 feet

HITS GROUND 1ST TIME

Rise 10 feet

Drop 10 feet

HITS GROUND 2ND TIME

Rise 5 feet

Drop 5 feet

HITS GROUND 3RD TIME

Rise 2.5 feet

Drop 2.5 feet

HITS GROUND 4TH TIME

Total distance travelled = 20 + 10 + 10 + 5 + 5 + 2.5 + 2.5 =

**55**

**Answer: B**