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A yo-yo, when dropped, rebounds 2/3 of the distance it falls from its
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15 Mar 2022, 03:00
15 Mar 2022, 03:00
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Question Stats:
78% (01:57) correct
21% (03:06) wrong based on 14 sessions
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A yo-yo, when dropped, rebounds 2/3 of the distance it falls from its starting height. On each bounce thereafter, it rebounds 2/3 of the previous height. If the yo-yo is dropped from a height of 3 feet, how many vertical feet will it have traveled in total after it swings down the third time?
(A) 22/3
(B) 25/3
(C) 28/3
(D) 29/3
(E) 32/3
(A) 22/3
(B) 25/3
(C) 28/3
(D) 29/3
(E) 32/3
Re: A yo-yo, when dropped, rebounds 2/3 of the distance it falls from its
[#permalink]
15 Mar 2022, 12:08
15 Mar 2022, 12:08
1
Lets break this prob in 3 part
1 swing distance traveled = 3 feet
2 swing distance traveled = 4 feet (2 up and 2 down)
3 swing distance traveled = 8/3 feet (2 * 2/3 = 4/3 feet up/down)
Total distance travelled = 3 + 4 + 8/3 ---> Upon solving 29/3, hence option D
1 swing distance traveled = 3 feet
2 swing distance traveled = 4 feet (2 up and 2 down)
3 swing distance traveled = 8/3 feet (2 * 2/3 = 4/3 feet up/down)
Total distance travelled = 3 + 4 + 8/3 ---> Upon solving 29/3, hence option D
gmatclubot
Re: A yo-yo, when dropped, rebounds 2/3 of the distance it falls from its [#permalink]
15 Mar 2022, 12:08
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