If it takes 20 seconds for a machine to fill three water bottles, how many bottles will it fill in 3 minutes? a) 21 b) 18 c) 28 d) 27 e) 15 (i) Message

Question

UpStudy AI · Accepted Answer

To solve the problem, we need to determine how many water bottles the machine can fill in 3 minutes, given that it takes 20 seconds to fill 3 bottles.

### Step 1: Calculate the rate of filling bottles
First, we find the rate at which the machine fills the bottles.

- The machine fills 3 bottles in 20 seconds.
- Therefore, the rate of filling is:

$$
\text{Rate} = \frac{3 \text{ bottles}}{20 \text{ seconds}} = 0.15 \text{ bottles/second}
$$

### Step 2: Convert 3 minutes to seconds
Next, we convert 3 minutes into seconds:

$$
3 \text{ minutes} = 3 \times 60 = 180 \text{ seconds}
$$

### Step 3: Calculate the total number of bottles filled in 180 seconds
Now, we can calculate how many bottles the machine will fill in 180 seconds:

$$
\text{Total bottles} = \text{Rate} \times \text{Time} = 0.15 \text{ bottles/second} \times 180 \text{ seconds}
$$

Calculating this gives:

$$
\text{Total bottles} = 0.15 \times 180 = 27 \text{ bottles}
$$

### Conclusion
The machine will fill **27 bottles** in 3 minutes.

Thus, the correct answer is:
**d) 27**.
The machine will fill 27 bottles in 3 minutes.

If it takes 20 seconds for a machine to fill three water bottles, how many bottles will it fill in 3 minutes? a) 21 b) 18 c) 28 d) 27 e) 15 (i) Message

Upstudy AI Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Arithmetic Questions