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On the number line, if r > s, if s is halfway between r and

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enigma123
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On the number line, if r > s, if s is halfway between r and [#permalink] New post  06 Mar 2012, 15:19
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On the number line, if r > s, if s is halfway between r and t, and t is halfway between r and u, then which of the following is equal to 1?

(A)\(\frac{r-t}{s-u}\)

(B) \(\frac{r-t}{u-t}\)

(C) \(\frac{s-t}{r-u}\)

(D) \(\frac{u-t}{r-s}\)

(E) \(\frac{u-t}{t-r}\)

Any idea guys how to solve this?
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Bunuel
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Re: Number line [#permalink] New post  06 Mar 2012, 15:44
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enigma123 wrote:
On the number line, if r > s, if s is halfway between r and t, and t is halfway between r and u, then which of the following is equal to 1?

(A)\(\frac{r-t}{s-u}\)

(B) \(\frac{r-t}{u-t}\)

(C) \(\frac{s-t}{r-u}\)

(D) \(\frac{u-t}{r-s}\)

(E) \(\frac{u-t}{t-r}\)

Any idea guys how to solve this?


Draw the number line and mark s, r, t, and u
s is halfway between r and t: -----------t----s----r---- (since r>s);
t is halfway between r and u: u---------t---------r----;

So, you can see that E must be correct, since u-t=r-t.

Or you can assume u=0, t=2, and r=4 (s=3) then \(\frac{u-t}{t-r}=\frac{-2}{-2}=1\).

Answer: E.
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On the number line, if r > s, if s is halfway between r and [#permalink] New post  18 Oct 2016, 08:40
enigma123 wrote:
On the number line, if r > s, if s is halfway between r and t, and t is halfway between r and u, then which of the following is equal to 1?

(A)\(\frac{r-t}{s-u}\)

(B) \(\frac{r-t}{u-t}\)

(C) \(\frac{s-t}{r-u}\)

(D) \(\frac{u-t}{r-s}\)

(E) \(\frac{u-t}{t-r}\)

Any idea guys how to solve this?



Quote:
r > s, if s is halfway between r and t, and t is halfway between r and u


r > s > t > x >u

Plug in some numbers...

r > s > t > x >u = 2 >4 > 6 > 8 >10

Now, check using the options , only (E) will satisfy the condition...

Hence our answer will be (E)
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Re: On the number line, if r > s, if s is halfway between r and [#permalink] New post  31 Dec 2020, 04:18
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cant we assume the number line in negetive
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On the number line, if r > s, if s is halfway between r and [#permalink] New post  24 Oct 2023, 12:22
I plotted u, t, s and r on the number line, plugged in random values and then used those values to solve all the equations.

<--------------------------------------------------------------------------------->
u...................................................t.....................s.....................r

Let u = 2, t = 8, s = 11, r = 14.

The above values are chosen keeping in mind that:

1) t is halfway between u and r
2) s is halfway between t & r
3) r > s

If we use the values from the number line, only option E gives us 1.
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On the number line, if r > s, if s is halfway between r and [#permalink]
24 Oct 2023, 12:22
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