Question

There are two pipes of length 25 m. and 75 m. These pipes cut into pieces of equal length.What should be the maximum length of each piece.

Answer 1

Answer: 25 m

Step-by-step explanation:

We have two pipes each of length 25 m & 75 m.

Here, we have to cut the pipes in such a manner that each final piece has the same length.

For, finding the maximum length of each piece we need to just find the H.C.F. of the length of two pipes.

Therefore,

25 = 5 * 5  

75 = 3 * 5 * 5

So, H.C.F. = 5 * 5 = 25 m

Thus, the maximum length of each piece would be 25 m and we would get possibly 3 such pieces of pipes finally.

Answer 2

Answer:

maximum length of each piece = 5 m

Step-by-step explanation:

Given :

There are two pipes of length 25 m. and 75 m.

These pipes cut into pieces of equal length.

To find :

maximum length of each piece

To Find maximum length of piece we need to find HCF of 25 & 75

as we can see 75 = 25 * 3

Hence 25 is a factor of 75

so 25 is the HCF of both

but its given that pipes are cut

so we need to find the largest factor

of 25

25 = 5 * 5

Hence maximum length of each piece = 5 m

5 & 15 pieces