A 30ft. cable is cut into 2 pieces. One piece is twice as long as the other piece. Find th length of each piece of the cable.
Let x = the length of the shorter cable.
x + 2x = 30
3x = 30
x = ?
X=10; the shorter cable length is 10 ft. Take the 3 and divide it by 3(which is the total length.)
Let's assume the length of the shorter piece of the cable is x feet. Since the longer piece is twice as long as the shorter piece, its length will be 2x feet.
According to the given information, the total length of the cable is 30 feet. So, we can write the equation:
x + 2x = 30
Combining like terms, we get:
3x = 30
Dividing both sides by 3, we find:
x = 10
Now we know that the shorter piece is 10 feet long. To find the length of the longer piece, we can substitute x back into the expression for the longer piece:
2x = 2 * 10 = 20
Therefore, the lengths of the two pieces of the cable are 10 feet and 20 feet.
To find the length of each piece of the cable, let's assume the length of the shorter piece is 'x' feet. Since the longer piece is twice as long, we can say its length is '2x' feet.
When these two pieces are combined, their lengths should add up to the total length of the cable, which is given as 30 feet. So we can set up the following equation:
x + 2x = 30
Combining like terms, we get:
3x = 30
To solve for x, we divide both sides of the equation by 3:
x = 30 / 3
x = 10
Therefore, the length of the shorter piece is 10 feet, and the length of the longer piece is twice as long, which is 2 * 10 = 20 feet.