5. A machine fills 80 water bottles in 5 hours. a) How many bottles can be filled in 2 hours? .................. b) How long will it will take to fill 48 bottles? ...............................

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UpStudy AI · Accepted Answer

Let's solve each part step by step.

### Given:
- **Total bottles filled** = 80 bottles
- **Total time taken** = 5 hours

### a) **How many bottles can be filled in 2 hours?**

**Step 1: Determine the filling rate.**

$$
\text{Filling Rate} = \frac{\text{Total Bottles}}{\text{Total Time}} = \frac{80 \text{ bottles}}{5 \text{ hours}} = 16 \text{ bottles per hour}
$$

**Step 2: Calculate the number of bottles filled in 2 hours.**

$$
\text{Bottles in 2 hours} = \text{Filling Rate} \times \text{Time} = 16 \text{ bottles/hour} \times 2 \text{ hours} = 32 \text{ bottles}
$$

**Answer:**  
32 bottles can be filled in 2 hours.

---

### b) **How long will it take to fill 48 bottles?**

**Step 1: Use the filling rate calculated earlier.**

$$
\text{Filling Rate} = 16 \text{ bottles per hour}
$$

**Step 2: Calculate the time needed to fill 48 bottles.**

$$
\text{Time} = \frac{\text{Number of Bottles}}{\text{Filling Rate}} = \frac{48 \text{ bottles}}{16 \text{ bottles/hour}} = 3 \text{ hours}
$$

**Answer:**  
It will take 3 hours to fill 48 bottles.
a) 32 bottles can be filled in 2 hours. b) It will take 3 hours to fill 48 bottles.

5. A machine fills 80 water bottles in 5 hours. a) How many bottles can be filled in 2 hours? .................. b) How long will it will take to fill 48 bottles? ...............................

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