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A pipe of total length 8 m is cut into three pieces in the ratio 3/7 : 2/5 : 3/4. What is the length of the longest piece?

1. 3.2 m
2. 3.8 m
3. 4.0 m
4. 4.4 m

Correct answer: 3.8 m

Solution

Multiplying the ratio 3/7 : 2/5 : 3/4 by 140 gives 60 : 56 : 105, total 221. The largest piece = 8 * 105/221 = 3.8 m (approx).

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