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#

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#
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Answer 2

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"#
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Answer 3

To find the length of the longest piece of rope when cutting a 54 m length of rope in the ratio 6:2:1, first, add the parts of the ratio (6 + 2 + 1 = 9). Then, divide the total length of the rope by the total parts of the ratio (54 m ÷ 9 = 6 m). Finally, multiply the first part of the ratio by this value to find the length of the longest piece (6 × 6 m = 36 m). Therefore, the longest piece of rope is 36 meters long.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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