A 680 m wire is cut into three pieces. The second piece is 4 times as long as the first. The third piece is 3 times as long as the second. How long is each piece?

40 meter, 160 meter and 480 meter.

Step-by-step explanation:

Given:

A 680 m wire is cut into three pieces.

The second piece is 4 times as long as the first

The third piece is 3 times as long as the second

Question asked:

How long is each piece?

Solution:

Let length of first piece of wire =

Then, length of second piece of wire =

Then, length of third piece of wire =

As a 680 m wire is cut into three pieces:

By dividing both sides by 17

Now,

The length of first piece of wire = = 40 meter

Length of second piece of wire = =

Length of third piece of wire =

Therefore, length of first, second and third pieces of wire are 40 meter, 160 meter and 480 meter respectively.

Step-by-step explanation:

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