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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
Posts: 59
Pamela needs to drive from Town A to Town B. She can take Path 1  [#permalink]

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05 Jan 2018, 10:28
1
4
00:00

Difficulty:

45% (medium)

Question Stats:

71% (03:25) correct 29% (03:48) wrong based on 38 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

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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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05 Jan 2018, 22:49
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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 [ 1.12 MiB | Viewed 746 times ]

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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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08 Apr 2019, 21:15
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Re: Pamela needs to drive from Town A to Town B. She can take Path 1   [#permalink] 08 Apr 2019, 21:15
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# Pamela needs to drive from Town A to Town B. She can take Path 1

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