Question

An electric cord was cut into three pieces in the ratio 5:3:7. The difference in the length between the longest piece and the shortest piece is 64 cm.

1.Find the length of the longest piece?
2. Find the length of the Electrical cord in meters before it was cut?

Answer 1

1) 112 m

Answer:

2) 240 m

Explanation:

Let the length of pieces be 5x, 3x and 7x m.

Where 3x is the shortest piece and 7x is the longest piece.

According to the given condition:

7x - 3x = 64

4x = 64

x = 64/4

x = 16 m

1) Length of longest piece = 7x = 7* 16 = 112 m

2) length of the Electrical cord in meters before it was cut = 5x + 3x + 7x = 15x = 15*16 =240 m

Answer 2

Explanation:

Let's call the pieces 5x, 3x, and 7x respectively. The longest (7x) and shortest (3x) pieces had a difference of 64 cm. Therefore, 7x - 3x = 64 → 4x = 64 → x = 16 cm. We know that the longest piece is 7x, so its length is 7 * 16 = 112 cm. As for the total length of the cord, we can express it as 5x + 3x + 7x = 15x, which is 15 * 16 = 240 cm. Hope this helps!