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Lines m and n are parallel and 12 inches apart. Two distinct lines p

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Lines m and n are parallel and 12 inches apart. Two distinct lines p [#permalink]

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New post 01 Aug 2017, 13:34
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Question Stats:

58% (01:40) correct 42% (02:08) wrong based on 67 sessions

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Lines m and n are parallel and 12 inches apart. Two distinct lines p and q are parallel to m, and are each twice as far from m as from n. If all the four lines lie in the same plane, what is the distance, in inches, between p and q?

(A) 8
(B) 12
(C) 16
(D) 20
(E) 24

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Re: Lines m and n are parallel and 12 inches apart. Two distinct lines p [#permalink]

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New post 01 Aug 2017, 20:53
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Bunuel wrote:
Lines m and n are parallel and 12 inches apart. Two distinct lines p and q are parallel to m, and are each twice as far from m as from n. If all the four lines lie in the same plane, what is the distance, in inches, between p and q?

(A) 8
(B) 12
(C) 16
(D) 20
(E) 24


......................................................m
12 inches
.......................................................n

P Q also parallel
but their distance from m is twice the distance from n
Hence one of them will be in between m and n and one below n (If the line is above m then distance from m will be less than distance from n)

......................................................m
8 inches
.......................................................p
4 inches
.......................................................n
12 inches
.......................................................q

p is 8 inches from m and 4 inches from n
q is 24 inches from m and 12 inches from n
Between p and q 16 inches
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Re: Lines m and n are parallel and 12 inches apart. Two distinct lines p   [#permalink] 01 Aug 2017, 20:53
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