A tank is filled by two pipes. Pipe A fills it in 5 hours, and Pipe B fills it in 3 hours. How long will it take to fill the tank if both pipes are used together?
["How Long Does It Take to Fill a Tank with Two Pipes Working Together?", "When filling a tank, using two pipes simultaneously significantly increases the speed of the process. Understanding how pipe flow rates combine helps solve real-world plumbing and hydraulic problems efficiently. If Pipe A fills a tank in 5 hours and Pipe B in 3 hours, combining both pipes results in a faster fill time—let’s calculate exactly how long it takes when both operate together.", "Pipe A’s Filling Rate\nPipe A fills the tank in 5 hours. Therefore, its filling rate is:", "- 1 tank per 5 hours\n- Filling rate = ( \frac{1}{5} ) tanks per hour", "Pipe B’s Filling Rate\nPipe B fills the tank in 3 hours. So, its rate is:", "- 1 tank per 3 hours\n- Filling rate = ( \frac{1}{3} ) tanks per hour", "Combined Filling Rate\nWhen both pipes work together, their flow rates add:", "[\n\ ext{Combined rate} = \frac{1}{5} + \frac{1}{3} = \frac{3}{15} + \frac{5}{15} = \frac{8}{15} \ ext{ tanks per hour}\n]", "Total Time to Fill One Tank\nThe time to fill one full tank is the reciprocal of the combined rate:", "[\n\ ext{Time} = \frac{1}{\frac{8}{15}} = \frac{15}{8} \ ext{ hours}\n]", "Convert to hours and minutes:", "[\n\frac{15}{8} = 1.875 \ ext{ hours} = 1 \ ext{ hour and } 0.875 \ imes 60 = 52.5 \ ext{ minutes}\n]", "So, both pipes together fill the tank in 1 hour and 52.5 minutes—much faster than using either pipe alone.", "Why This Matters\nKnowing how to calculate combined flow rates is essential in plumbing, irrigation, and industrial systems. It helps plan efficient refilling schedules and prevents bottlenecks.", "Conclusion\nBy working together, Pipe A and Pipe B fill the tank in just ( \frac{15}{8} ) hours, or 1 hour and 52.5 minutes. This simple yet powerful principle applies across many real-life scenarios where multiple flow sources contribute to a common goal.", "---", "Keywords: tank filling time, Pipe A filling rate, Pipe B filling rate, combined flow rate, how long to fill a tank with two pipes"]
