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What is the time required to fill an Olympic swimming pool using a garden hose?

Approach / Explanation

This question is designed to evaluate your problem-solving skills as well as your proficiency with estimations and calculations. To respond, you should be aware of the approximate volume of an Olympic-sized swimming pool and the average flow rate of a garden hose. With this information, you can determine the time required for the hose to fill the pool.

Suggested Answer

An Olympic swimming pool has a total volume of 2.5 million liters (2,500,000 liters). In comparison, a typical garden hose has a flow rate of about 24 liters per minute. To determine how long it would take to fill the pool, we must divide the pool's volume by the hose's flow rate. First, convert the flow rate to liters per hour: 24 liters multiplied by 60 minutes equals 1,440 liters per hour. Next, we can calculate the time required by dividing the pool's volume by the flow rate of the hose: 2,500,000 liters divided by 1,440 liters per hour equals approximately 1,736 hours. Therefore, it would take roughly 1,736 hours, or about 72 days, to fill an Olympic swimming pool using a garden hose.

Alternative Answer

To begin with, let's look at the specifications. An Olympic-sized swimming pool contains roughly 2.5 million liters of water. A standard garden hose typically has a flow rate ranging from 10 to 17 liters per minute. If we consider an average flow rate of about 13 liters per minute for the garden hose, that equates to 780 liters per hour. Next, if we divide the total volume of the pool, which is 2.5 million liters, by the hourly flow rate, we get: 2,500,000 liters / 780 liters per hour = approximately 3205 hours. Converting this into days, we divide 3205 hours by 24 hours per day, resulting in 133.5 days. Therefore, it would take around 134 days to fill an Olympic swimming pool using a garden hose on average.

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Medium
estimation

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