Question

A rope is cut into three pieces in the ratio 1 : 3 : 5. Given that the length of the longest piece is
35m, find the length of the original rope.

Answer 1

Answer:

Step-by-step explanation:

Length of longest piece=35

Let the ratio be x:3x:7x

7x=35

X=5

3x=5×3=15

Total length

5+15+35=55

Thanks...

Answer 2

The length of the original rope is 63 m

Given,

A rope is cut into three pieces

Ratio of three pieces = 1:3:5

Length of the longest piece = 35 m

To Find,

Length of the original rope

Solution,

We have been given that a rope has been cut into three pieces

Also, the ratio of the length of the three pieces is 1:3:5

So, the length of the three pieces can be expressed as x, 3x, and 5x from the shortest to the longest piece respectively

Then the length of the original rope = x+3x+5x = 9x

We have also been given that the longest piece is 35 m

⇒ 5x = 35

⇒ x = 7

Therefore, the length of the original

⇒ 9x

⇒ 9*7

⇒ 63

Therefore, the length of the original rope is 63 m

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