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Home » = 46 + 10\sqrt21 - Londonproperty

= 46 + 10\sqrt21 - Londonproperty

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Setting \( S = 210 \):

📌 \( \frac{n(n + 1)}{2} = 210 \)

📌 \( n(n + 1) = 420 \)

📌 Solving the quadratic equation \( n^2 + n - 420 = 0 \):

📌 \( n = \frac{-1 \pm \sqrt{1 + 1680}}{2} = \frac{-1 \pm \sqrt{1681}}{2} = \frac{-1 \pm 41}{2} \)

📌 Taking the positive solution: \( n = \frac{40}{2} = 20 \).

📌 A train travels 300 km at a speed of 60 km/h and then another 200 km at a speed of 80 km/h. What is the train's average speed for the entire journey?

📌 Time for first part: \( \frac{300}{60} = 5 \) hours.

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