Pregunta
A 2 -liter bottle is full of water. The bottle leaks 80 milliliters of water every
3 minutes. Will the bottle be empty in 1 hour? Explain why or why not.
( 1 liter
3 minutes. Will the bottle be empty in 1 hour? Explain why or why not.
( 1 liter
Ask by Ortiz Rojas. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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After 1 hour, 400 milliliters of water remain in the bottle, so it will not be empty.
Solución
To determine whether a 2-liter (2,000 milliliters) bottle leaking at a rate of 80 milliliters every 3 minutes will be empty in 1 hour (60 minutes), let’s break down the problem step by step.
1. Calculate the Number of Leakage Intervals in 1 Hour
First, determine how many 3-minute intervals are there in 60 minutes:
2. Calculate the Total Amount of Water Leaked in 1 Hour
Next, multiply the leakage per interval by the total number of intervals:
3. Determine the Remaining Water in the Bottle After 1 Hour
Subtract the total leaked water from the initial volume:
Conclusion
After 1 hour, 400 milliliters of water will remain in the bottle. Therefore, the bottle will not be empty in 1 hour.
Additional Insight: When Will the Bottle Be Completely Empty?
If you want to find out when the bottle will be entirely empty:
- Total Leakage Needed: 2,000 milliliters.
- Number of Intervals to Leak 2,000 milliliters:
- Total Time Required:
So, the bottle will be fully empty after 1 hour and 15 minutes.
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Simplifique esta solución The Deep Dive
In one hour, there are 60 minutes. Given that the bottle leaks 80 milliliters every 3 minutes, we can calculate how much it leaks in 60 minutes. First, we find out how many 3-minute intervals are in 60 minutes, which is 20 intervals (60 divided by 3). Therefore, the total leakage in one hour will be
Since 1 liter equals 1,000 milliliters, the bottle has 2,000 milliliters. With a leakage of 1,600 milliliters in 1 hour, the bottle won’t be empty yet; it will still have
Calculating leak rates can be quite handy for various scenarios, like keeping a check on the water supply in your home or organizing routine maintenance for any container. It’s amazing how a little math can save you from potential water wastage or unexpected floods!
If you find yourself in situations like this often, consider keeping a mathematical log or using a spreadsheet to track leak rates and predict when you’ll need to refill or fix something. Small mistakes might include miscalculating intervals, so always double-check those numbers to avoid unnecessary surprises!
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