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Home » Long Grove: What This Hidden Paradise Has to Offer—You’ll Want to Explore! - Abbey Badges

Long Grove: What This Hidden Paradise Has to Offer—You’ll Want to Explore! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Total distance is \(150 + 200 = 350\) km.

📌 Total time is \(2 + 3 = 5\) hours.

📌 Average speed is \(\frac{350}{5} = 70\) km/h.

📌 A tank is filled by two pipes. The first pipe alone fills it in 6 hours, and the second pipe in 4 hours. How long will it take to fill the tank if both pipes are opened together?

📌 The rate of the first pipe is \(\frac{1}{6}\) of the tank per hour.

📌 The rate of the second pipe is \(\frac{1}{4}\) of the tank per hour.

📌 Together, they fill \(\frac{1}{6} + \frac{1}{4} = \frac{2}{12} + \frac{3}{12} = \frac{5}{12}\) of the tank per hour.

📌 Time to fill the tank is \(\frac{1}{\frac{5}{12}} = \frac{12}{5} = 2.4\) hours.

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