A rope is cut into 3 pieces, A, B and C, in the ratio 3 : 2 : 4.The length of the longest piece is 12 m.What is the length of the shortest piece of rope?The length of the shortest piece is m
Question
A rope is cut into 3 pieces, A, B and C, in the ratio 3 : 2 : 4.The length of the longest piece is 12 m.What is the length of the shortest piece of rope?The length of the shortest piece is m
Solution
The total ratio representing the whole rope is 3 + 2 + 4 = 9.
The longest piece of the rope is 12m, which represents 4 parts of the ratio.
Therefore, 1 part of the ratio is equal to 12m ÷ 4 = 3m.
The shortest piece of the rope represents 2 parts of the ratio.
Therefore, the length of the shortest piece is 2 parts × 3m/part = 6m.
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