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

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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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Difficulty:

  55% (hard)

Question Stats:

65% (03:26) correct 35% (04:01) 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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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 500 times ]


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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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

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