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A straight pipe 1 yard in length was marked off in fourth

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A straight pipe 1 yard in length was marked off in fourth [#permalink]

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New post 15 Jul 2008, 11:38
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A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

(A) 1/6 and 1/4 only
(B) 1/4 and 1/3 only
(C) 1/6, 1/4, and 1/3
(D) 1/12, 1/6 and 1/4
(E) 1/12, 1/6, and 1/3

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-straight-pipe-1-yard-in-length-was-marked-off-in-fourths-145031.html
[Reveal] Spoiler: OA

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Re: A straight pipe 1 yard in length was marked off in fourth [#permalink]

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New post 15 Jul 2008, 11:52
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vksunder wrote:
A straight pipe 1 yard in length was marked off in fourth and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

A.1/6 and 1/4 only
B.1/4 and 1/3 only
C.1/6, 1/4, and 1/3
D.1/12, 1/6 and 1/4
E.1/12, 1/6, and 1/3


D.

Not to scale:
|---1/4---|-1/12-|--1/6--|--1/6--|-1/12-|---1/4---|
0--------1/4------1/3-----1/2-----2/3-----3/4---------1

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Re: A straight pipe 1 yard in length was marked off in fourth [#permalink]

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New post 15 Jul 2008, 12:05
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Just look at the two first segments and it will give you the answer:

First segment : 1/4

Second segment : 1/3-1/4 = 1/12

Only (D) has both of those lengths

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Re: A straight pipe 1 yard in length was marked off in fourth [#permalink]

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New post 16 Jul 2008, 20:24
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let the length of pipe is 12 units.

markings are at....0,3,4,6,8,9,12

length of segaments
1 (between 3-4 or 8-9)
2 (between 6-8)
3 (between 0-3 or 9-12)

on a 1 yard pipe = 1/12, 2/12 and 3/12 = 1/12, 1/6 and 1/4
Option D

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Re: A straight pipe 1 yard in length was marked off in fourth [#permalink]

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New post 01 Jul 2011, 00:42
durgesh79 wrote:
let the length of pipe is 12 units.

markings are at....0,3,4,6,8,9,12

length of segaments
1 (between 3-4 or 8-9)
2 (between 6-8)
3 (between 0-3 or 9-12)

on a 1 yard pipe = 1/12, 2/12 and 3/12 = 1/12, 1/6 and 1/4
Option D

Why dont we consider lengths between 8 and 12 of 4 units?

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Re: A straight pipe 1 yard in length was marked off in fourth [#permalink]

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New post 01 Jul 2011, 01:14
@siddhans, read the explanation in the OG. The diagram given there elucidates this problem very well, and you'll get the answer to your question in that explanation.
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Re: A straight pipe 1 yard in length was marked off in fourth [#permalink]

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New post 07 Aug 2011, 17:59
I still can't understand, would you pls draw sketch of it? I draw like following but it is wrong.


zoinnk wrote:
vksunder wrote:
A straight pipe 1 yard in length was marked off in fourth and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

A.1/6 and 1/4 only
B.1/4 and 1/3 only
C.1/6, 1/4, and 1/3
D.1/12, 1/6 and 1/4
E.1/12, 1/6, and 1/3


D.

Not to scale:
|---1/4---|-1/12-|--1/6--|--1/6--|-1/12-|---1/4---|
0--------1/4------1/3-----1/2-----2/3-----3/4---------1

Attachments

111.JPG
111.JPG [ 8.13 KiB | Viewed 7549 times ]

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Re: A straight pipe 1 yard in length was marked off in fourth [#permalink]

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New post 07 Aug 2011, 19:14
The way I imagined it was pretend we're taking numbers out of 100.

Quarter Cuts at 100 give you 25, 50, 75
Third Cuts at 100 give you ~33, ~67

This means that you have 1-25 or 1/4
You have 25-33 which is 8/100 ->2/25 ~1/12
33-50 gives you 17/100 -> 4.25/25 ~1/6

Only one with 1/4, 1/6, 1/12 is D
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Re: A straight pipe 1 yard in length was marked off in fourth [#permalink]

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New post 08 Aug 2011, 22:51
the first two fraction I understand is like this:

first be cut 1/4 and then be cut 1/3, so it 1/12, and why 1/6?
what do mean by this 33-50 gives you 17/100 -> 4.25/25 ~1/6?



nphelan wrote:
The way I imagined it was pretend we're taking numbers out of 100.

Quarter Cuts at 100 give you 25, 50, 75
Third Cuts at 100 give you ~33, ~67

This means that you have 1-25 or 1/4
You have 25-33 which is 8/100 ->2/25 ~1/12
33-50 gives you 17/100 -> 4.25/25 ~1/6

Only one with 1/4, 1/6, 1/12 is D

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Re: A straight pipe 1 yard in length was marked off in fourth [#permalink]

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New post 09 Aug 2011, 06:22
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well because the distance between 1 and 25 is 25, which means 25/100 which means 1/4
Distance between 25 and 33 is 8, 8/100 is roughly 1/12
and distance between 33 and 50 is 17, 17/100 is roughly 1/6

It can sound complicated but if you just think of it as a breakdown of 100, it might make more sense to you
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Re: A straight pipe 1 yard in length was marked off in fourth [#permalink]

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New post 09 Aug 2011, 20:12
Ok, now I understand. thank you.

nphelan wrote:
well because the distance between 1 and 25 is 25, which means 25/100 which means 1/4
Distance between 25 and 33 is 8, 8/100 is roughly 1/12
and distance between 33 and 50 is 17, 17/100 is roughly 1/6

It can sound complicated but if you just think of it as a breakdown of 100, it might make more sense to you

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Re: A straight pipe 1 yard in length was marked off in fourth [#permalink]

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Re: A straight pipe 1 yard in length was marked off in fourth [#permalink]

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New post 11 Oct 2014, 04:31
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vksunder wrote:
A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

(A) 1/6 and 1/4 only
(B) 1/4 and 1/3 only
(C) 1/6, 1/4, and 1/3
(D) 1/12, 1/6 and 1/4
(E) 1/12, 1/6, and 1/3


Since we want to find the fractions, we can assume some other length of the pipe which will make calculation easier. Take the length of the pipe to be 12-meter long (the least common multiple of 3 and 4.

In this case the branch would be cut at 3, 4, 6, 8, and 9 meters (in black are given fourths of the length and in red thirds of the length).

Distinct lengths would be: 3=3/12=1/4, 4-3=1=1/12 and 6-4=2=2/12=1/6 meters long pieces.

Answer: D.

Similar question to practice:
on-the-number-line-above-the-segment-from-0-to-1-has-been-104204.html
kim-finds-a-1-meter-tree-branch-and-marks-it-off-in-thirds-140038.html
if-the-successive-tick-marks-shown-on-the-number-line-above-144053.html

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-straight-pipe-1-yard-in-length-was-marked-off-in-fourths-145031.html
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Re: A straight pipe 1 yard in length was marked off in fourth   [#permalink] 11 Oct 2014, 04:31
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