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On the real number line, there are four points P, Q, S, and [#permalink]

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14 Apr 2011, 04:04

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22% (00:57) wrong based on 83 sessions

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On the real number line, there are four points P, Q, S, and T, with coordinates p, q, s, and t, respectively. Suppose p < q < s < t, p = -1, s = 2. If the distance between P and Q is twice the distance between Q and S, and S is the midpoint of Q and T, then T has coordinate

On the real number line, there are four points P, Q, S, and T, with coordinates p, q, s, and t, respectively. Suppose p < q < s < t, p = -1, s = 2. If the distance between P and Q is twice the distance between Q and S, and S is the midpoint of Q and T, then T has coordinate

Re: On the real number line, there are four points P, Q, S, and [#permalink]

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14 Jul 2016, 11:24

gmatpapa wrote:

On the real number line, there are four points P, Q, S, and T, with coordinates p, q, s, and t, respectively. Suppose p < q < s < t, p = -1, s = 2. If the distance between P and Q is twice the distance between Q and S, and S is the midpoint of Q and T, then T has coordinate

No fancy mathematics is need here just make a big line and divide it into 4 parts (like we do in a number line)

Now since the ascending order is p,q,s,t ; name the parts p,q,s and finally t in the same order p=-1 q= unknown, s=2, t= unknown This is the halfway down the question

Then the question tells us P to Q=2 Q to S It means p=-1 q=1,s=2 {p to q= 1-(-1)=2; and since s we know is 2 then q to us is 2-1 =1} S is the average of q and t \(therefore 2=1+\frac{t}{2}\)

t+1 =4 t=3

Answer is D _________________

Posting an answer without an explanation is "GOD COMPLEX". The world does't need any more gods. Please explain you answers properly.

On the real number line, there are four points P, Q, S, and [#permalink]

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14 Jul 2016, 11:26

gmatpapa wrote:

On the real number line, there are four points P, Q, S, and T, with coordinates p, q, s, and t, respectively. Suppose p < q < s < t, p = -1, s = 2. If the distance between P and Q is twice the distance between Q and S, and S is the midpoint of Q and T, then T has coordinate

No fancy mathematics is need here just make a big line and divide it into 4 parts (like we do in a number line)

Now since the ascending order is p,q,s,t ; name the parts p,q,s and finally t in the same order p=-1 q= unknown, s=2, t= unknown This is the halfway down the question

Then the question tells us distance from (P to Q)=twice the distance from (Q to S) It means p=-1 q=1,s=2 {p to q= 1-(-1)=2; and since s we know is 2 then q to us is 2-1 =1} S is the average of q and t therefore \(S=\frac{q+t}{2}\)

therefore \(2=\frac{1+t}{2}\)

t+1 =4 t=3

Answer is D _________________

Posting an answer without an explanation is "GOD COMPLEX". The world does't need any more gods. Please explain you answers properly.

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