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# On the number line, if r<s, if p is halfway between r and s,

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Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 516
On the number line, if r<s, if p is halfway between r and s,  [#permalink]

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Updated on: 17 Feb 2011, 08:59
1
3
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:37) correct 14% (01:56) wrong based on 217 sessions

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On the number line, if r<s, if p is halfway between r and s, and if t is halfway between p and r then (s-t)/(t-r)=

A. 1/4
B. 1/3
C. 4/3
D. 3
E. 4

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Originally posted by Baten80 on 17 Feb 2011, 07:54.
Last edited by Baten80 on 17 Feb 2011, 08:59, edited 1 time in total.
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Joined: 02 Sep 2009
Posts: 52294

### Show Tags

17 Feb 2011, 08:29
1
1
Baten80 wrote:
On the number line, if r<S, if p is the halfway between r and s, and if t is the halfway between p and r, then s-t/t-r=

1/4
1/3
4/3
3
4

Also what do you mean by "What i will the s-t either s minus t or s to t"?

Original question is:

On the number line, if r<s, if p is halfway between r and s, and if t is halfway between p and r then (s-t)/(t-r)=
A. 1/4
B. 1/3
C. 4/3
D. 3
E. 4

Let r=0 and s=4 --> p is halfway between r and s: p=2;
t is halfway between p=2 and r=0: t=1;

(s-t)/(t-r)=(4-1)/(1-0)=3.

P.S. On the GMAT we can often see such statement: $$k$$ is halfway between $$m$$ and $$n$$ on the number line. Remember this statement can ALWAYS be expressed algebraically as: $$\frac{m+n}{2}=k$$.
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Status: No dream is too large, no dreamer is too small
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### Show Tags

17 Feb 2011, 09:01
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Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

Math Expert
Joined: 02 Sep 2009
Posts: 52294

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17 Feb 2011, 09:05
Baten80 wrote:

Question is: $$\frac{s-t}{t-r}=?$$.
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Joined: 09 Mar 2016
Posts: 1287
Re: On the number line, if r<s, if p is halfway between r and s,  [#permalink]

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18 Mar 2018, 02:01
Bunuel wrote:
Baten80 wrote:
On the number line, if r<S, if p is the halfway between r and s, and if t is the halfway between p and r, then s-t/t-r=

1/4
1/3
4/3
3
4

Also what do you mean by "What i will the s-t either s minus t or s to t"?

Original question is:

On the number line, if r<s, if p is halfway between r and s, and if t is halfway between p and r then (s-t)/(t-r)=
A. 1/4
B. 1/3
C. 4/3
D. 3
E. 4

Let r=0 and s=4 --> p is halfway between r and s: p=2;
t is halfway between p=2 and r=0: t=1;

(s-t)/(t-r)=(4-1)/(1-0)=3.

P.S. On the GMAT we can often see such statement: $$k$$ is halfway between $$m$$ and $$n$$ on the number line. Remember this statement can ALWAYS be expressed algebraically as: $$\frac{m+n}{2}=k$$.

niks18 hi there

i took following numbers R=2, S=5, T=3, P =4 whats wrong with my reasoning ? im free to choose any numbers as long as p is the halfway between r and s, and if t is the halfway between p and r. No ?

thanks & have a great weekend
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Joined: 25 Feb 2013
Posts: 1220
Location: India
GPA: 3.82
Re: On the number line, if r<s, if p is halfway between r and s,  [#permalink]

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18 Mar 2018, 02:50
1
dave13 wrote:
Bunuel wrote:
Baten80 wrote:
On the number line, if r<S, if p is the halfway between r and s, and if t is the halfway between p and r, then s-t/t-r=

1/4
1/3
4/3
3
4

Also what do you mean by "What i will the s-t either s minus t or s to t"?

Original question is:

On the number line, if r<s, if p is halfway between r and s, and if t is halfway between p and r then (s-t)/(t-r)=
A. 1/4
B. 1/3
C. 4/3
D. 3
E. 4

Let r=0 and s=4 --> p is halfway between r and s: p=2;
t is halfway between p=2 and r=0: t=1;

(s-t)/(t-r)=(4-1)/(1-0)=3.

P.S. On the GMAT we can often see such statement: $$k$$ is halfway between $$m$$ and $$n$$ on the number line. Remember this statement can ALWAYS be expressed algebraically as: $$\frac{m+n}{2}=k$$.

niks18 hi there

i took following numbers R=2, S=5, T=3, P =4 whats wrong with my reasoning ? im free to choose any numbers as long as p is the halfway between r and s, and if t is the halfway between p and r. No ?

thanks & have a great weekend

Hi dave13

Before I answer your question, what according to you is "halfway"? how do you define "halfway" and as per that definition what will be the "halfway" of 2 & 5
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Status: Stepping into my 10 years long dream
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Posts: 3626
Re: On the number line, if r<s, if p is halfway between r and s,  [#permalink]

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18 Mar 2018, 03:59
1
dave13 wrote:
i took following numbers R=2, S=5, T=3, P =4 whats wrong with my reasoning ? im free to choose any numbers as long as p is the halfway between r and s, and if t is the halfway between p and r. No ?

thanks & have a great weekend

Hey dave13 ,

Halfway means middle of the two numbers.

So, If the distance between you and I is 1000 Kms, then the halfway between us will be 500 Kms away from both of us.

Does that make sense?
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Re: On the number line, if r<s, if p is halfway between r and s, &nbs [#permalink] 18 Mar 2018, 03:59
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