GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 23 Feb 2020, 18:55 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # On the number line, if r < s, if p is halfway between r and s, and if

Author Message
TAGS:

### Hide Tags

Senior Manager  S
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 398
On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

### Show Tags

1
3 00:00

Difficulty:   15% (low)

Question Stats: 86% (01:37) correct 14% (01:52) wrong based on 185 sessions

### HideShow timer Statistics

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

_________________

Originally posted by Baten80 on 17 Feb 2011, 07:54.
Last edited by Bunuel on 05 May 2019, 20:23, edited 2 times in total.
Math Expert V
Joined: 02 Sep 2009
Posts: 61403
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

### Show Tags

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: $$\frac{m+n}{2}=k$$.
_________________
Senior Manager  S
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 398
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

### Show Tags

_________________
Math Expert V
Joined: 02 Sep 2009
Posts: 61403
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

### Show Tags

Baten80 wrote:

Question is: $$\frac{s-t}{t-r}=?$$.
_________________
Current Student P
Joined: 18 Aug 2016
Posts: 590
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38 Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

### Show Tags

Bunuel wrote:
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

We can solve it using integers..i would like to take negative integers first

r.......t.......p.................s.......0
-5....-4......-3................-1

on solving (-1+4)/(-4+5) = 3

Just to check with positive integers

0.......r.......t.......p.................s
0.......2......3........4................6

on solving (6-3)/(3-2) = 3

Hence D
_________________
We must try to achieve the best within us

Thanks
Luckisnoexcuse
Senior SC Moderator V
Joined: 22 May 2016
Posts: 3706
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

### Show Tags

Bunuel wrote:
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

Find endpoints.

Sketch r < s. From info and logic, neither p nor t can be an endpoint; both are midpoints.

r < s, p is halfway between:

R_____________P_____________S
|------------------|------------------|

t is halfway between p and r:

R______T______P____________S
|----x---|----x---|------2x------|

Track on distance as above. Then use smallest length to define. Let RT = x. Then TP = x, and PS = 2x.

Assign integer value to x; 1 is easy. Assign cardinal values in keeping with the ratios.

Let r = 1. Then t = 2, p = 3, and s, which is 2x = (2)(1) away from p, = 5.

A. (s - t) => (5 - 2) = 3
B. (t - r) => (2 - 1) = 1

$$\frac{A}{B}$$ = $$\frac{3}{1}$$ = 3

I tested it with x=2 as well, and started with r = 3. The ratio holds.

_________________
Visit SC Butler, here! Get two SC questions to practice, whose links you can find by date.

Never doubt that a small group of thoughtful, committed citizens can change the world; indeed, it's the only thing that ever has. -- Margaret Mead
VP  D
Joined: 09 Mar 2016
Posts: 1221
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

### Show Tags

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 Retired Moderator D
Joined: 25 Feb 2013
Posts: 1138
Location: India
GPA: 3.82
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

### Show Tags

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
Board of Directors V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3551
Re: On the number line, if r < s, if p is halfway between r and s, and if  [#permalink]

### Show Tags

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?
_________________
My GMAT Story: From V21 to V40 | My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place

GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.
Have OPT questions? - Post them here.
Best Reply Functionality on GMAT Club!
Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free
Check our new About Us Page here. Re: On the number line, if r < s, if p is halfway between r and s, and if   [#permalink] 18 Mar 2018, 03:59
Display posts from previous: Sort by

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