Question

an 80 meter rope is cut into 2 pieces given the ratio of 5:15.How long is the shorter rope?the longer rope?​

Answer 1

Answer:

the length of short rope is 20 metre

Answer 2

The length of the shorter rope will be 20 meters and the length of the longer rope will be 60 meters.

Given

• The total length of the rope is 80 meters.
• The rope is cut into 2 pieces at a ratio of 5:15.

To find

• The length of the longer and shorter ropes.

Solution

We know that,

• Each number in the ratio of 5:15 is divisible by 5 and can be simplified into the ratio of 1:3
• The length of the shorter rope is equal to the ratio of the shorter rope divided by the sum of the whole ratio and then multiplied by the total length of the rope.
• The same methodology is also availed for finding the length of longer rope, by replacing the ratio of the shorter side with the ratio of the longer side.
• So here, the shorter rope = 1/4 × 80

= 20 meters

• Length of the longer rope = 3/4 × 80

= 60 meters

OR

• The length of the longer rope can be directly obtained by subtracting the length of the shorter rope from the total length of the rope, as it is cut into two pieces only.

So the length of the shorter rope will be 20 meters and the length of the longer rope will be 60 meters.