Given data
*The given frequency of the transverse wave is f = 4 Hz
*The given speed of the wave is v = 6 m/s
*The other given frequency is 12 Hz
The formula for the wavelength is given as

Substitute the known values in the above expression as

Now, the speed of the wave is calculated as

Substitute the known values in the above expression as

Hence, the speed of a 12 Hz wave along this same rope is 18 m/s