Question

A 260-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the lengths of the two pieces.

The short piece is inches long.

Answer 1

To find the lengths of the two pieces cut from a 260-inch pipe, we can set up an equation and solve for the unknown lengths. The short piece is 52 inches long, while the longer piece is 208 inches long.

Step-by-step explanation:

Let's solve the problem step by step:

1. Let x be the length of the short piece.
2. According to the problem, the longer piece will be 4x.
3. To find the lengths, we set up the equation: x + 4x = 260 (since the sum of the lengths of the two pieces must be equal to 260 inches).
4. Combining like terms, we get 5x = 260.
5. Dividing both sides by 5, we find that x = 52.
6. So, the short piece is 52 inches long.
7. And since the longer piece is four times the length of the short piece, it will be 4 * 52 = 208 inches long.

Therefore, the lengths of the two pieces are 52 inches and 208 inches.