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PS confusion

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Manager
Joined: 03 Oct 2009
Posts: 89

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08 Oct 2009, 01:37
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Question Stats:

100% (00:38) correct 0% (00:00) wrong based on 26 sessions

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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

Please exppain.I tried doing like this
x, x/2 , x/4..
now x/4 = 1
x= 4
so total distance travelled is
8 + 2 + 2 + 4 + 4 + 1 = 21 m
Please eplain is this the right way to look at the problem.
Thanks

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Senior Manager
Joined: 31 Aug 2009
Posts: 399
Location: Sydney, Australia

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08 Oct 2009, 01:53
After 1st bounce = 8/2 = 4
After 2nd bounce = 4/2 = 2
After 3rd bounce = 2/1 = 1

Total distance = (8+4)+(4+2)+(2+1) =21

It probably helps if you just draw the diagram and mark each distance to add.
Manager
Joined: 02 Jan 2009
Posts: 84
Location: India
Schools: LBS

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08 Oct 2009, 01:54
1
KocharRohit wrote:
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

Please exppain.I tried doing like this
x, x/2 , x/4..
now x/4 = 1
x= 4
so total distance travelled is
8 + 2 + 2 + 4 + 4 + 1 = 21 m
Please eplain is this the right way to look at the problem.
Thanks

21 is correct.
In such problems i feel its better not to generalize and form equations when we can do it faster and with less chances of error by using actual values.

8(1st bounce) + 4 + 4 (2nd Bouce) + 2 + 2 (3rd Bounce) + 1= 21
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Manager
Joined: 18 Jul 2009
Posts: 166
Location: India
Schools: South Asian B-schools

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08 Oct 2009, 03:07
8 D+ 4U + 4D + 2U + 2D + 1U = 21 mtrs..OA A
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14 Apr 2017, 23:53
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Re: PS confusion &nbs [#permalink] 14 Apr 2017, 23:53
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