To determine which wave has a faster speed, we can use the formula for wave speed:
\[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \]
Now we can calculate the speed of each wave.
For Wave W:
- Wavelength = 5 meters
- Frequency = 200 hertz
\[ \text{Speed of W} = 5 , \text{meters} \times 200 , \text{hertz} = 1000 , \text{meters/second} \]
For Wave X:
- Wavelength = 3 meters
- Frequency = 300 hertz
\[ \text{Speed of X} = 3 , \text{meters} \times 300 , \text{hertz} = 900 , \text{meters/second} \]
Now we compare the speeds:
- Speed of Wave W: 1000 meters/second
- Speed of Wave X: 900 meters/second
Based on this calculation, the conclusion that can be made is:
Wave W has a faster speed.
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