A water tank initially contained 57 liters of water. It is then drained at a constant rate of 2.5 liters per minute.

How many minutes have passed, m, when the tank contains 35 liters? **Round to the nearest tenth.**

We are given that a water tank initially contains 57 liters of water, and it is being drained at a constant rate of 2.5 liters per minute. We need to find how many minutes, \( m \), have passed when the tank contains 35 liters.

### Step 1: Set up the equation
The amount of water left in the tank after \( m \) minutes can be expressed by the equation:

\[
\text{Remaining water} = \text{Initial water} - \text{Drain rate} \times \text{Time}
\]

Substituting the known values:

\[
35 = 57 - 2.5 \times m
\]

### Step 2: Solve for \( m \)
First, subtract 35 from both sides:

\[
57 - 2.5 \times m = 35
\]

\[
57 - 35 = 2.5 \times m
\]

\[
22 = 2.5 \times m
\]

Now, divide both sides by 2.5:

\[
m = \frac{22}{2.5}
\]

\[
m = 8.8
\]

### Conclusion:
It takes 8.8 minutes for the water tank to contain 35 liters.

Do you need more details or have any questions?

Here are 5 related questions to expand on this:
1. What would be the time if the tank were drained to 10 liters?
2. How much water would be left after 5 minutes of draining?
3. What if the draining rate was increased to 3 liters per minute?
4. How would the time change if the initial amount of water was 100 liters instead?
5. How much water would remain after 15 minutes of draining?

**Tip:** When solving word problems, setting up an equation based on the description of the situation is key to finding the solution systematically.

A water tank initially contained 57 liters of water. It is then drained at a constant rate of 2.5 liters per minute. How many minutes have passed, m, when the tank contains 35 liters? Round to the nearest tenth.

Find how many minutes it takes to drain a water tank from 57 liters to 35 liters at a constant rate of 2.5 liters per minute. This problem demonstrates key algebraic concepts and rate of change formulas. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation