Question

Long lengths of rope need to be cut in the ratio 6:2:1. How long is the longest piece of rope from a 54 m length of rope?

Answer 1

The ratios add up to `6+2+1=9`

Explanation:

So the segment denoted by `1` is `54/9=6m`

Which makes the longest piece: `6xx6=36m`

(the middle piece will be `2xx6=12m`)

Check your answer!: `36+12+6=54m`

Answer 2

The longest piece is 36 metres long

Explanation:

Total number of parts `->6+2+1 =9`

So 1 part is `(54" m")/9`

The longest piece is 6 parts long giving:

`(54" m")/(cancel(9)^3)xx cancel(6)^2`

`=36" m"`