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?
["Title: How Long Does It Take to Fill a Tank When Two Pipes Are Opened Together? | Efficient Water Filling Explained", "---", "Introduction\nWhen faced with filling a tank, understanding how combined pipe systems work can save time and improve efficiency. If you’re wondering how long it takes to fill a tank when filled by two pipes working simultaneously—where one fills the tank in 6 hours and the other in 4 hours—you’ve come to the right place. This article explains the math behind combined water flow rates, shows how to calculate the total filling time, and clarifies the physics behind tank filling with multiple sources.", "---", "Understanding Flow Rates\nTo solve how long two pipes fill a tank together, start by calculating the individual filling rates:", "- The first pipe fills the tank in 6 hours → its rate is 1 tank per 6 hours or 1/6 tank/hour.\n- The second pipe fills the tank in 4 hours → its rate is 1 tank per 4 hours or 1/4 tank/hour.", "When both pipes are opened simultaneously, their combined rate is the sum of individual rates:\n[\n\frac{1}{6} + \frac{1}{4}\n]", "---", "Calculating the Combined Rate\nBefore adding the fractions, find a common denominator. The least common multiple of 6 and 4 is 12:\n[\n\frac{1}{6} = \frac{2}{12}, \quad \frac{1}{4} = \frac{3}{12}\n]\nAdding them:\n[\n\frac{2}{12} + \frac{3}{12} = \frac{5}{12} \ ext{ tank per hour}\n]", "This means both pipes together fill 5/12 of the tank each hour.", "---", "Determining the Total Time to Fill the Tank\nIf the tank gains 5/12 of its volume every hour, the time ( T ) required to fill the full tank (1 tank) is:\n[\nT = \frac{1}{\frac{5}{12}} = \frac{12}{5} = 2.4 \ ext{ hours}\n]", "Converting 0.4 hours to minutes:\n[\n0.4 \ imes 60 = 24 \ ext{ minutes}\n]", "So, together, the pipes fill the tank in 2 hours and 24 minutes.", "---", "Why This Matters\nUnderstanding how different pipe flow rates combine is essential in plumbing, industrial systems, and household tasks. Whether breaking down complex workflows or optimizing water supply, math ensures efficiency and avoids delays.", "---", "Conclusion\nWhen two pipes work together—one filling a tank in 6 hours and the other in 4 hours—the combined flow rate is 5/12 of the tank per hour, meaning the tank is completely filled in 2 hours and 24 minutes. Use this formula to confidently manage multiple filling sources and maximize efficiency.", "---", "Keywords: tank filling time, how long to fill a tank with two pipes, combined flow rate, water tank filling calculation, pipe flow rates, plumbing math, tank filling efficiency", "Meta Description:\nLearn how long it takes to fill a tank when two pipes—one filling in 6 hours and the other in 4 hours—are opened together. Discover the combined rate and the precise filling time of 2 hours and 24 minutes.", "---", "also searchable:\n- How long to fill a tank with two pipes\n- Pipe filling rate comparison\n- Fastest tank filling method\n- How to calculate tank filling time with two sources"]
