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?

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Answer 1 · 2016-09-04T21:35:27

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

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 · 2016-09-05T15:10:21

The longest piece is 36 metres long

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

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

The longest piece is 6 parts long giving:

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

$=36" m"$