A wheel makes 280 revolutions in `1/2` hour. At this rate, how many revolutions will it make in 3 hours?

Options

A. 2250
B. 4500
C. 1680
D. 3750

Answer

To solve the problem of how many revolutions a wheel makes in 3 hours, given that it makes 280 revolutions in 1/2 hour, we can follow these steps:

### Step-by-Step Solution:

1. **Determine the number of revolutions in 1 hour:**
- Since the wheel makes 280 revolutions in 1/2 hour, we can find out how many revolutions it makes in 1 hour by multiplying by 2.
\[ \text{Revolutions in 1 hour} = 280 \times 2 = 560 \]

2. **Calculate the number of revolutions in 3 hours:**
- Now that we know the wheel makes 560 revolutions in 1 hour, we can find out how many revolutions it makes in 3 hours by multiplying the number of revolutions in 1 hour by 3.
\[ \text{Revolutions in 3 hours} = 560 \times 3 = 1680 \]

3. **Final Answer:**
- Therefore, the wheel will make 1680 revolutions in 3 hours.