Math Problem Statement
A water tank initially contained 53 liters of water. It is being drained at a constant rate of 2.5 liters per minute.
How many liters of water are in the tank after 104 seconds? Round answers to the nearest whole liter.
Solution
To determine how many liters of water remain in the tank after 104 seconds, we first need to convert the time into minutes, because the rate at which the water is being drained is given in liters per minute.
Step 1: Convert seconds to minutes
Step 2: Calculate how much water has been drained
The rate of drainage is 2.5 liters per minute, so we calculate the amount of water drained in 1.7333 minutes:
Step 3: Subtract the drained water from the initial amount
Initially, the tank contained 53 liters of water. The remaining water after 104 seconds is:
Step 4: Round to the nearest whole liter
The remaining water is approximately 49 liters.
Thus, after 104 seconds, 49 liters of water remain in the tank.
Would you like more details or have any questions?
Here are some related questions you might find useful:
- How long will it take for the tank to be completely empty?
- What is the total time required to drain half of the tank?
- How much water is left after 2 minutes?
- If the rate of drainage changes to 3 liters per minute, how much water will be left after 104 seconds?
- What would happen if the tank started with 100 liters of water?
Tip: When working with time units, always make sure to convert them appropriately to match the rate given in the problem.
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Math Problem Analysis
Mathematical Concepts
Unit Conversion
Linear Equations
Basic Arithmetic
Formulas
Water drained = rate × time
Remaining water = initial amount - drained water
Theorems
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Suitable Grade Level
Grades 6-8
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