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

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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

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

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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

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

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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. _________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

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

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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

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

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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 _________________

“Focus on the journey, not the destination. Joy is found not in finishing an activity but in doing it.” - Greg Anderson

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

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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

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

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10 Oct 2014, 21:38

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

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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.

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