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# In the number line shown above, point P is midway between A and B. Poi

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Math Expert
Joined: 02 Sep 2009
Posts: 54496
In the number line shown above, point P is midway between A and B. Poi  [#permalink]

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10 Jan 2016, 08:34
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:37) correct 26% (01:53) wrong based on 160 sessions

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In the number line shown above, point P is midway between A and B. Point Q is midway between C and D. What is the distance between points P and Q?

A. 3⁄7
B. 4⁄7
C. 6⁄7
D. 17⁄7
E. 18⁄7

Attachment:

2016-01-10_1932.png [ 4.67 KiB | Viewed 1949 times ]

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Math Expert
Joined: 02 Aug 2009
Posts: 7588
Re: In the number line shown above, point P is midway between A and B. Poi  [#permalink]

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11 Jan 2016, 00:50
1
Bunuel wrote:

In the number line shown above, point P is midway between A and B. Point Q is midway between C and D. What is the distance between points P and Q?

A. 3⁄7
B. 4⁄7
C. 6⁄7
D. 17⁄7
E. 18⁄7

Attachment:
2016-01-10_1932.png

we know P and Q are midpoints, so if we shift P on A, Q will come on C..
between A and C, there are 6 gaps of 3/7..
E
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Joined: 07 Dec 2016
Posts: 40
Re: In the number line shown above, point P is midway between A and B. Poi  [#permalink]

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09 Sep 2017, 22:21
Point P is => $$\frac{1}{2}(\frac{9}{7}+\frac{12}{7})=\frac{21}{14}$$

Point Q is =>$$\frac{1}{2}(\frac{6}{7}+\frac{9}{7})=\frac{15}{14}$$

Total distance between P->Q = Distance from P to 0+ Distance from Q to 0
=>$$\frac{21}{14}+\frac{15}{14}=\frac{18}{7}$$
Re: In the number line shown above, point P is midway between A and B. Poi   [#permalink] 09 Sep 2017, 22:21
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