Answer:
Wave X is moving the fastest.
Step-by-step explanation:
As we know that the speed of the wave is given as the product of frequency and wavelength
so here we will have
![\lambda = 10 m](https://img.qammunity.org/2020/formulas/physics/middle-school/o5i42ut8n5d7icx6nmu07e1v2gi48tsdz4.png)
now for wave X
![f = 6 Hz](https://img.qammunity.org/2020/formulas/physics/middle-school/43dcjksggxjmtyxidunzbhepti5xlru7zy.png)
now the speed of this wave is
![v_x = 10 * 6 = 60 m/s](https://img.qammunity.org/2020/formulas/physics/middle-school/ym2l5pjdhywrjsqeen6ah1wln4prtrngpu.png)
now for wave Y
![f = 0.5 Hz](https://img.qammunity.org/2020/formulas/physics/middle-school/k6leegi83yqcxjtfzjp4q1ar3sasxm4dda.png)
now the speed of this wave is
![v_y = 10 * 0.5 = 5 m/s](https://img.qammunity.org/2020/formulas/physics/middle-school/jyoyy1qhll58yiagsl37p73tjlyr9sm1mq.png)
now for wave Z
![f = 2 Hz](https://img.qammunity.org/2020/formulas/physics/middle-school/picouu5btnldlfx7cer9nftz3lyvmhy6ll.png)
now the speed of this wave is
![v_z = 10 * 2 = 20 m/s](https://img.qammunity.org/2020/formulas/physics/middle-school/a8t56sri1ldvmeusblaq56v4nlly1g9fkb.png)
So correct answer will be
Wave X is moving the fastest.