Question

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?

Answer 1

Answer:

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 = $x$

Then, length of second piece of wire = $4x$

Then, length of third piece of wire = $3\times4x=12x$

As a 680 m wire is cut into three pieces:

$x+4x+12x=680\\17x=680$

By dividing both sides by 17

$x=40$

Now,

The length of first piece of wire = $x$ = 40 meter

Length of second piece of wire = $4x$ = $4\times40=160\ meter$

Length of third piece of wire = $12x=12\times40=480\ meter$

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