PIECES

[grandh01]

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?

1) 1/6 and 1/4 only
2) 1-4 and 1/3 only
3) 1/6,1/4 and 1/3
4) 1/12,1/6 and 1/4
5) 1/12,1/6 and 1/3

[theCEO]

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?

1) 1/6 and 1/4 only
2) 1-4 and 1/3 only
3) 1/6,1/4 and 1/3
4) 1/12,1/6 and 1/4
5) 1/12,1/6 and 1/3

[spoiler]ans= 4) 1/12,1/6 and 1/4 [/spoiler]

key is to convert all fractions to the same denominator

division = 1/4 = 3/12
division = 1/3 = 4/12

0--3--6--9--12
0---4---8---12

distance between all markings = 3,1,2,2,1,3
distances = 3/12, 1/12, 2/12 = 1/4, 1/12, 1/6

[Anurag@Gurome]

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?

1) 1/6 and 1/4 only
2) 1-4 and 1/3 only
3) 1/6,1/4 and 1/3
4) 1/12,1/6 and 1/4
5) 1/12,1/6 and 1/3

https://postimage.org/image/2al7hw484/

Refer to the figure above,
B, D and F are the marks at the fourths.
C and E are the marks at the thirds.

Now, we will only have three different lengths. They are,
1. AB = FG = 1/4
2. CD = DE = (1/3)/2 = 1/6
3. BC = EF = (1/3 - 1/4) = 1/12

The correct answer is D.