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Pamela needs to drive from Town A to Town B. She can take Path 1

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Joined: 23 Feb 2017
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Pamela needs to drive from Town A to Town B. She can take Path 1 [#permalink]

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New post 05 Jan 2018, 09:28
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Question Stats:

58% (02:10) correct 42% (02:10) wrong based on 26 sessions

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Pamela needs to drive from Town A to Town B. She can take Path 1, which is a straight road connecting the two towns, and drive at a speed of 100 kilometers per hour. Alternatively, she can take Path 2, in which she first drives on a straight road from Town A to Town C which is 100√3 kilometers away and then takes the perpendicular road that connects Town C to Town B. If she can drive at a speed of 100√3 kilometers per hour on Path 2 and the road that connects Town A to Town C is at an angle of 30∘ to the road that connects Town A to Town B, by taking which path will she reach Town B earlier and approximately how much time will she save by taking that path instead of the other path?

A) Path 1, 26 minutes
B) Path 1, 34 minutes
C) Path 1, 1 hour 34 minutes
D) Path 2, 26 minutes
E) Path 2, 1 hour
[Reveal] Spoiler: OA

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Kudos [?]: 41 [0], given: 16

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Re: Pamela needs to drive from Town A to Town B. She can take Path 1 [#permalink]

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New post 05 Jan 2018, 21:49
mandeey wrote:
Pamela needs to drive from Town A to Town B. She can take Path 1, which is a straight road connecting the two towns, and drive at a speed of 100 kilometers per hour. Alternatively, she can take Path 2, in which she first drives on a straight road from Town A to Town C which is 100√3 kilometers away and then takes the perpendicular road that connects Town C to Town B. If she can drive at a speed of 100√3 kilometers per hour on Path 2 and the road that connects Town A to Town C is at an angle of 30∘ to the road that connects Town A to Town B, by taking which path will she reach Town B earlier and approximately how much time will she save by taking that path instead of the other path?

A) Path 1, 26 minutes
B) Path 1, 34 minutes
C) Path 1, 1 hour 34 minutes
D) Path 2, 26 minutes
E) Path 2, 1 hour



Ans is Path 2 by 26 minutes...
See attached file
D
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IMG_20180106_111805.jpg
IMG_20180106_111805.jpg [ 1.12 MiB | Viewed 244 times ]


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Kudos [?]: 6450 [0], given: 122

Re: Pamela needs to drive from Town A to Town B. She can take Path 1   [#permalink] 05 Jan 2018, 21:49
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