Three identical chargers fill 14,400 bottles of juice in 4 hours. One breaks down, how long
the other two fill 12,000 bottles?

To solve this problem, we first need to calculate the rate at which the chargers fill bottles. Then, we can determine how long it will take for the two working chargers to fill 12,000 bottles.

### Step 1: Calculate the rate of filling bottles by one charger
We know that three identical chargers fill 14,400 bottles in 4 hours. Therefore, the rate at which the three chargers work together is:

\[
\text{Rate of 3 chargers} = \frac{14,400 \text{ bottles}}{4 \text{ hours}} = 3,600 \text{ bottles per hour.}
\]

Now, divide this rate by 3 to find the rate at which one charger fills bottles:

\[
\text{Rate of 1 charger} = \frac{3,600 \text{ bottles per hour}}{3} = 1,200 \text{ bottles per hour.}
\]

### Step 2: Calculate the rate of two chargers
If one charger fills 1,200 bottles per hour, then two chargers will fill:

\[
\text{Rate of 2 chargers} = 1,200 \times 2 = 2,400 \text{ bottles per hour.}
\]

### Step 3: Determine the time for two chargers to fill 12,000 bottles
To find how long it takes two chargers to fill 12,000 bottles, we use the formula:

\[
\text{Time} = \frac{\text{Total bottles}}{\text{Rate of 2 chargers}} = \frac{12,000}{2,400} = 5 \text{ hours.}
\]

### Conclusion:
It will take **5 hours** for the two remaining chargers to fill 12,000 bottles.

Would you like further explanation or details on any step?

Here are 5 related questions:
1. What if all three chargers were functioning? How long would they take to fill 12,000 bottles?
2. How would the time change if one charger worked slower than the others?
3. How many bottles can two chargers fill in 3 hours?
4. What is the rate if the chargers' efficiency drops by 20%?
5. How long would it take for one charger to fill 14,400 bottles on its own?

**Tip**: Always double-check units (e.g., bottles per hour) to avoid confusion in rate problems!

Three identical chargers fill 14,400 bottles of juice in 4 hours. One breaks down, how long will it take the other two to fill 12,000 bottles?

Solve the problem of two chargers filling 12,000 bottles of juice after one breaks down. Learn how to calculate the rate of work, apply proportional reasoning, and determine the time taken to complete a task. Suitable for middle school students (Grades 6-8).

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