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# If Q is the midpoint of the line segment PS, and R is the midpoint of

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
If Q is the midpoint of the line segment PS, and R is the midpoint of  [#permalink]

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12 Jul 2017, 01:40
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Difficulty:

5% (low)

Question Stats:

85% (01:03) correct 15% (01:08) wrong based on 87 sessions

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If Q is the midpoint of the line segment PS, and R is the midpoint of line segment QS, what is the value of PQ/PR?

(A) 3/4
(B) 2/3
(C) 1/2
(D) 1/3
(E) 1/4

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If Q is the midpoint of the line segment PS, and R is the midpoint of  [#permalink]

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12 Jul 2017, 01:43
Bunuel wrote:
If Q is the midpoint of the line segment PS, and R is the midpoint of line segment QS, what is the value of PQ/PR?

(A) 3/4
(B) 2/3
(C) 1/2
(D) 1/3
(E) 1/4

Bunuel, are we not supposed to get a diagram with this.
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Math Expert
Joined: 02 Sep 2009
Posts: 58453
Re: If Q is the midpoint of the line segment PS, and R is the midpoint of  [#permalink]

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12 Jul 2017, 01:45
2
jedit wrote:
Bunuel wrote:
If Q is the midpoint of the line segment PS, and R is the midpoint of line segment QS, what is the value of PQ/PR?

(A) 3/4
(B) 2/3
(C) 1/2
(D) 1/3
(E) 1/4

Bunuel, are we not supposed to get a diagram with this.

No, it can be solved without it.
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Re: If Q is the midpoint of the line segment PS, and R is the midpoint of  [#permalink]

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12 Jul 2017, 01:48
1
Bunuel wrote:
If Q is the midpoint of the line segment PS, and R is the midpoint of line segment QS, what is the value of PQ/PR?

(A) 3/4
(B) 2/3
(C) 1/2
(D) 1/3
(E) 1/4

PQ=PS/2

PR=PQ+QR=PS/2 + QS/2=PS/2 + PS/4=3PS/4

PQ/PR = PS/2 * 4/3PS = 2/3

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If Q is the midpoint of the line segment PS, and R is the midpoint of  [#permalink]

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12 Jul 2017, 08:27
Bunuel wrote:
If Q is the midpoint of the line segment PS, and R is the midpoint of line segment QS, what is the value of PQ/PR?

(A) 3/4
(B) 2/3
(C) 1/2
(D) 1/3
(E) 1/4

Lets put some values to the line segment.

Let $$PS = 4$$

$$Q$$ is the midpoint of the line segment $$PS$$.

$$PQ = QS = 2$$

$$R$$ is the midpoint of line segment $$QS$$.

$$QR = RS = 1$$

$$PR = PQ + QR = 2 + 1 = 3$$

Required fraction $$= \frac{PQ}{PR} = \frac{2}{3}$$

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Re: If Q is the midpoint of the line segment PS, and R is the midpoint of  [#permalink]

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12 Jul 2017, 09:09
Assume length of the line=4
PQ=2=QS(Q is the Mid Point)
QR=RS=1(R is the Mid Point)
PR=PQ+QR=3
PQ/PR=2/3

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Re: If Q is the midpoint of the line segment PS, and R is the midpoint of  [#permalink]

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17 Oct 2018, 00:35
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Re: If Q is the midpoint of the line segment PS, and R is the midpoint of   [#permalink] 17 Oct 2018, 00:35
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