To determine the speed of the waves, we can use the formula for wave speed, which is:
\[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \]
Now let's calculate the speed for each wave:
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For Wave W: \[ \text{Speed of Wave W} = 5 , \text{meters} \times 200 , \text{hertz} = 1000 , \text{meters/second} \]
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For Wave X: \[ \text{Speed of Wave X} = 3 , \text{meters} \times 300 , \text{hertz} = 900 , \text{meters/second} \]
Now, comparing the speeds:
- Wave W has a speed of 1000 meters/second.
- Wave X has a speed of 900 meters/second.
From this calculation, we can conclude:
Wave W has a faster speed.
Thus, the correct answer is: Wave W has a faster speed.