A container initially holds 200 liters of water. Water is drained from the container at a constant rate of 15 liters per hour. How long will it take for the container to be half empty?
["How Long Will It Take for a 200-Liter Container to Be Half Empty When Drained at 15 Liters Per Hour?", "If you’ve ever wondered how long it takes to drain a container like a water tank, this practical math problem helps unlock the answer with clear calculations. In this article, we’ll explain step-by-step how to determine the time required for a 200-liter container—starting full and drained at a steady rate—to be exactly half empty.", "---", "### The Problem at a Glance", "- Initial water volume: 200 liters\n- Drain rate: 15 liters per hour\n- Half-empty volume: 100 liters\n- Goal: Find how long it takes to drain from 200 liters to 100 liters", "---", "### Step-by-Step Calculation", "To find the time required to drain 100 liters (the equivalent of going from full to half empty), divide the volume drained by the constant drain rate:", "[\n\ ext{Time} = \frac{\ ext{Volume to drain}}{\ ext{Drain rate}} = \frac{200\ \ ext{liters} - 100\ \ ext{liters}}{15\ \ ext{liters/hour}} = \frac{100\ \ ext{liters}}{15\ \ ext{liters/hour}}\n]", "[\n\ ext{Time} = 6.\overline{6}\ \ ext{hours} \approx 6\ \ ext{hours and 40 minutes}\n]", "---", "### Converting Time for Practical Use", "For daily planning, it’s useful to convert the decimal time:", "[\n0.\overline{6}\ \ ext{hours} = \frac{2}{3}\ \ ext{hours} \ imes 60\ \ ext{minutes} = 40\ \ ext{minutes}\n]", "So, draining 100 liters (from 200L to 100L) takes exactly 6 hours and 40 minutes.", "---", "### Full Water Drainage Time (Bonus)", "For reference, to fully drain the container from 200 liters to empty:", "[\n\frac{200\ \ ext{liters}}{15\ \ ext{liters/hour}} \approx 13.33\ \ ext{hours} = 13\ \ ext{hours and 20 minutes}\n]", "---", "### Real-World Application", "Understanding how long drainage takes helps in managing water use, scheduling maintenance, or planning systems for irrigation, plumbing, or storage. This straightforward rate calculation ensures efficiency and avoids unexpected shortages or overflow risks.", "---", "### Summary", "- The container holds 200 liters initially.\n- It drains at 15 liters per hour.\n- To become half-empty (100 liters), it takes 6 hours and 40 minutes.\n- This calculation supports effective time management in both household and industrial settings.", "---", "Need faster or smarter drainage planning? Use this formula for any container size and drain rate—simple math that solves real-world problems efficiently.", "---", "Keywords: water drainage time, container draining calculation, half-empty time, 15L/hour rate, how long to drain 100 liters, 200L container drainage"]
