To determine the speed of each wave, we can use the formula:
\[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \]
For Wave W:
- Wavelength = 5 meters
- Frequency = 200 hertz
\[ \text{Speed of Wave W} = 5 , \text{meters} \times 200 , \text{hertz} = 1000 , \text{m/s} \]
For Wave X:
- Wavelength = 3 meters
- Frequency = 300 hertz
\[ \text{Speed of Wave X} = 3 , \text{meters} \times 300 , \text{hertz} = 900 , \text{m/s} \]
Now we can compare the speeds:
- Speed of Wave W = 1000 m/s
- Speed of Wave X = 900 m/s
Based on this calculation, we can conclude that:
Wave W has a faster speed than Wave X.
Thus, among the options provided, the correct conclusion is:
Wave W has a faster speed.