Question

A piece of string is 72m long. Where must it be cut for one piece to be three times as long as the other pieces?

Answer 1

Here, we are required to determine where the piece of string must be cut for one piece to be three times as long as the other piece.

• The string must be cut at 54m from one end for one piece to be three times as long as the other piece.

According to the question;

• The ratio of the length of the first piece to the other piece is ; 3:1.

Therefore; the total partitioning required is;

(3 + 1) = 4

• Therefore, the point where the string must be cut so that one piece is 3 times as long as the other piece is; x meters from one end of the string.

Therefore;

(3/4) = (x/72)

By cross product;

4x = 3 × 72

x = 54m

Therefore, the string must be cut at a point 54m from one end so that one piece is three times as long as the other piece.

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