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04 Jul 2022, 01:30
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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
Are You Up For the Challenge: 700 Level Questions
(A) 8
(B) 12
(C) 16
(D) 20
(E) 24
Are You Up For the Challenge: 700 Level Questions
04 Jul 2022, 04:04
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All four lines are parallel.
Two distinct lines p and q are parallel to m, and are each twice as far from m as from n.
One of the distinct lines is between m and n: its distance to m is 8, and its distance to n is 4.
The other is outside the range between m and n: it is closer to n at the distance of 12. (therefore, its distance to m is 24)
The distance between p and q is 4+12=16
The answer is thus (C).
Two distinct lines p and q are parallel to m, and are each twice as far from m as from n.
One of the distinct lines is between m and n: its distance to m is 8, and its distance to n is 4.
The other is outside the range between m and n: it is closer to n at the distance of 12. (therefore, its distance to m is 24)
The distance between p and q is 4+12=16
The answer is thus (C).
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04 Jul 2022, 04:17
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zhanbo
All four lines are parallel.
Two distinct lines p and q are parallel to m, and are each twice as far from m as from n.
One of the distinct lines is between m and n: its distance to m is 8, and its distance to n is 4.
The other is outside the range between m and n: it is closer to n at the distance of 12. (therefore, its distance to m is 24)
The distance between p and q is 4+12=16
The answer is thus (C).
Two distinct lines p and q are parallel to m, and are each twice as far from m as from n.
One of the distinct lines is between m and n: its distance to m is 8, and its distance to n is 4.
The other is outside the range between m and n: it is closer to n at the distance of 12. (therefore, its distance to m is 24)
The distance between p and q is 4+12=16
The answer is thus (C).
Hi Zhanbo - i cant visualise how this look, would you mind sharing how the lines are visualized on a plane?Thanks a lot!
