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"#