A machine fills 420 bottles in 3 hours. How many bottles will it fill in 5 hours ?

Options

A. 252
B. 700
C. 504
D. 300

Answer

To solve the problem of how many bottles a machine will fill in 5 hours, given that it fills 420 bottles in 3 hours, we can follow these steps:

### Step-by-Step Solution:

1. **Determine the rate of filling bottles per hour**:
- The machine fills 420 bottles in 3 hours.
- To find the number of bottles filled in 1 hour, we divide the total number of bottles by the total hours.
\[ \text{Bottles per hour} = \frac{420 \text{ bottles}}{3 \text{ hours}} = 140 \text{ bottles/hour} \]

2. **Calculate the number of bottles filled in 5 hours**:
- Now that we know the machine fills 140 bottles in 1 hour, we can find out how many bottles it will fill in 5 hours by multiplying the rate by the number of hours.
\[ \text{Bottles in 5 hours} = 140 \text{ bottles/hour} \times 5 \text{ hours} = 700 \text{ bottles} \]

3. **Conclusion**:
- Therefore, the machine will fill **700 bottles in 5 hours**.