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# Two cars start off at the same point on a straight highway facing oppo

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Math Expert
Joined: 02 Sep 2009
Posts: 58335
Two cars start off at the same point on a straight highway facing oppo  [#permalink]

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30 Jan 2019, 00:40
00:00

Difficulty:

15% (low)

Question Stats:

79% (01:16) correct 21% (01:32) wrong based on 67 sessions

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Two cars start off at the same point on a straight highway facing opposite directions. Each car drives for 6 miles, takes a left turn, and drives for 8 miles. How far apart are the two cars?

(A) 2 miles
(B) 11 miles
(C) 14 miles
(D) 20 miles
(E) 26 miles

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Re: Two cars start off at the same point on a straight highway facing oppo  [#permalink]

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30 Jan 2019, 01:25
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Bunuel wrote:
Two cars start off at the same point on a straight highway facing opposite directions. Each car drives for 6 miles, takes a left turn, and drives for 8 miles. How far apart are the two cars?

(A) 2 miles
(B) 11 miles
(C) 14 miles
(D) 20 miles
(E) 26 miles

The cars start off from the mid point (C1, C2) and move in opposite directions. They travel 6 miles and then 8 miles after taking a left. So they reach the points C1' and C2'.

Attachment:

Screenshot 2019-01-30 at 13.52.52.png [ 21.18 KiB | Viewed 1486 times ]

Both make right triangles with hypotenuse of 10 each (multiple of the 3-4-5 pythagorean triplet)

So distance between them will be 10 + 10 = 20 miles.
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Two cars start off at the same point on a straight highway facing oppo  [#permalink]

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30 Jan 2019, 01:52
Bunuel wrote:
Two cars start off at the same point on a straight highway facing opposite directions. Each car drives for 6 miles, takes a left turn, and drives for 8 miles. How far apart are the two cars?

(A) 2 miles
(B) 11 miles
(C) 14 miles
(D) 20 miles
(E) 26 miles

plot the given info on graph
we would get a pythogerous triplet 3:4:5 values 6:8:10
where 10 + 10= 20 would be the distance apart two cars would be.
IMO D
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Two cars start off at the same point on a straight highway facing oppo   [#permalink] 30 Jan 2019, 01:52
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