Math Problem Statement

A water tank initially contained 76 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 2 minutes? Round answers to the nearest whole liter.

Solution

The water tank initially contains 76 liters, and it is being drained at a constant rate of 2.5 liters per minute.

After 2 minutes, the amount of water drained is:

2.5×2=5liters2.5 \times 2 = 5 \, \text{liters}

Now, subtract the drained water from the initial amount:

765=71liters76 - 5 = 71 \, \text{liters}

So, after 2 minutes, there are approximately 71 liters of water left in the tank.

Would you like more details or have any questions?

Here are some related questions to consider:

  1. How much water will be left after 10 minutes?
  2. How long will it take to empty the tank completely?
  3. If the drainage rate changes to 3 liters per minute, how much water will remain after 2 minutes?
  4. What is the formula for calculating the water left after any number of minutes?
  5. If water is added at a rate of 1 liter per minute while draining, how much water will be left after 5 minutes?

Tip: For problems involving constant rates, linear equations are a great tool!

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Rate of Change
Subtraction

Formulas

Remaining water = Initial water - (Rate of drainage * Time)

Theorems

Linear relationship between variables
Constant rate theorem

Suitable Grade Level

Grades 6-8