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# Ziko wants to get from point x which lies on the edge of a circular po

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Math Expert
Joined: 02 Sep 2009
Posts: 55271
Ziko wants to get from point x which lies on the edge of a circular po  [#permalink]

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13 Sep 2018, 02:28
00:00

Difficulty:

55% (hard)

Question Stats:

65% (01:36) correct 35% (01:38) wrong based on 32 sessions

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Ziko wants to get from point x which lies on the edge of a circular pond directly across from point y, which also lies on the edge the pond. If Ziko can either swim across the pond from point x to y, or walk around the pond, should he walk or swim to get to his destination in the shortest time?

(1) Ziko walks twice as fast as he swims.
(2) The radius of the pond is 1 mile.

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image008.jpg [ 3.34 KiB | Viewed 381 times ]

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Ziko wants to get from point x which lies on the edge of a circular po  [#permalink]

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Updated on: 14 Sep 2018, 23:12
Bunuel wrote:

Ziko wants to get from point x which lies on the edge of a circular pond directly across from point y, which also lies on the edge the pond. If Ziko can either swim across the pond from point x to y, or walk around the pond, should he walk or swim to get to his destination in the shortest time?

(1) Ziko walks twice as fast as he swims.
(2) The radius of the pond is 1 mile.

Attachment:
image008.jpg

Length of semicircular path from x to y = πD/2 = 3.14D/2 = 1.57π
Length of Straight path from x to y = D
i.e. To reach through the circular path in same time as through straight path, Ziko's speed while walking must be 1.57 times that of the speed while swimming through straight path

Question : should he walk or swim to get to his destination in the shortest time?

Statement 1: Ziko walks twice as fast as he swims.
With this pace Ziko will reach before through semicircular path as his speed of walk is more than 1.57 tiimes speed of swimming
SUFFICIENT

Statement 2: The radius of the pond is 1 mile.
Useless information
NOT SUFFICIENT

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Originally posted by GMATinsight on 13 Sep 2018, 03:25.
Last edited by GMATinsight on 14 Sep 2018, 23:12, edited 1 time in total.
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Re: Ziko wants to get from point x which lies on the edge of a circular po  [#permalink]

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14 Sep 2018, 17:11
GMATinsight wrote:
Bunuel wrote:

Ziko wants to get from point x which lies on the edge of a circular pond directly across from point y, which also lies on the edge the pond. If Ziko can either swim across the pond from point x to y, or walk around the pond, should he walk or swim to get to his destination in the shortest time?

(1) Ziko walks twice as fast as he swims.
(2) The radius of the pond is 1 mile.

Attachment:
image008.jpg

Length of semicircular path from x to y = πD = 3.14D
Length of Straight path from x to y = D
i.e. To reach through the circular path in same time as through straight path, Ziko's speed while walking must be 3.14 times that of the speed while swimming through straight path

Question : should he walk or swim to get to his destination in the shortest time?

Statement 1: Ziko walks twice as fast as he swims.
With this pace Ziko will reach before with swim as mentioned earlier
SUFFICIENT

Statement 2: The radius of the pond is 1 mile.
Useless information
NOT SUFFICIENT

Length of semicircular path from x to y = πD = 3.14D --> Shouldn't it be 2πr/2=πr=3.14*r
Length of straight path from x to y = 2r

So min walk speed should be 3.14/2*r ~ 1.5 times faster that swim speed?
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Joined: 19 Aug 2018
Posts: 32
Re: Ziko wants to get from point x which lies on the edge of a circular po  [#permalink]

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14 Sep 2018, 17:37
GMATinsight wrote:

Hello, could you please explain why statement 2 is not sufficient?

Thank you.
Re: Ziko wants to get from point x which lies on the edge of a circular po   [#permalink] 14 Sep 2018, 17:37
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