To determine which wave has a faster speed, we can use the formula for wave speed:
\[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \]
Let's calculate the speed for both waves:
-
Wave W:
- Wavelength = 5 meters
- Frequency = 200 hertz
\[ \text{Speed of Wave W} = 5 , \text{m} \times 200 , \text{Hz} = 1000 , \text{m/s} \]
-
Wave X:
- Wavelength = 3 meters
- Frequency = 300 hertz
\[ \text{Speed of Wave X} = 3 , \text{m} \times 300 , \text{Hz} = 900 , \text{m/s} \]
Now that we have the speeds:
- Wave W has a speed of 1000 m/s.
- Wave X has a speed of 900 m/s.
Based on this calculation, we can conclude that Wave W has a faster speed.
Therefore, the correct response is: Wave W has a faster speed.