Problema Solution

Argyle cut a 300-meter cable into two pieces, one piece was 1m longer than twice the length of the other. Find the length of the longer piece.

Answer provided by our tutors

Let 'x' and 'y' represent the lengths of the two pieces.

The length of the two pieces together is 300 m:

x + y = 300

1 piece was 1 m longer than twice the length of the other:

y = 1 + 2x

We have the following system of equations:

x + y = 300

y = 1 + 2x

........

click here to see the system of equations solved for x and y

........

x = 99.67 m

y = 200.33 m

The length of the longer piece is 200.33 meters.