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Home » Rate of Pipe B = \( 1/6 \) of the tank per hour - Nelissen Grade advocaten

Rate of Pipe B = \( 1/6 \) of the tank per hour - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Multiply both sides by \(u\) (assuming \(u

📌 u^2 + 1 = 3u \quad \Rightarrow \quad u^2 - 3u + 1 = 0.

📌 u = rac{3 \pm \sqrt{9 - 4}}{2} = rac{3 \pm \sqrt{5}}{2}.

📌 So \( u = rac{3 + \sqrt{5}}{2} \) or \( u = rac{3 - \sqrt{5}}{2} \).

📌 Now recall \( u = rac{x+y}{x-y} \). Let \( r = rac{x}{y} \), assuming \(y

📌 e 0\). Then:

📌 rac{x+y}{x-y} = rac{r+1}{r-1}.

📌 Set this equal to each value of \(u\):

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Time for distance 2: 100 / 40 = 2.5 hours
Total distance: 150 + 100 = 250 miles
Total time: 3 + 2.5 = 5.5 hours
Average speed: Total distance / Total time = 250 / 5.5 â 45.45 mph
#### 45.45
Let width = w meters
Then, length = 3w meters
Perimeter: 2(length + width) = 64 meters
2(4w) = 64
w = 8 meters (width)

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