V=wavelength*frequency =2*0.40 =.80m/s 1.6km=1600 mtime taken to travel1.6km=1600/80 =20s

Calculating the Speed of Sound:
To determine the time it takes for a sound wave to travel a certain distance, we first need to calculate the speed of sound. The speed of sound depends on the medium through which it travels. In general, the speed of sound in air at room temperature is approximately 343 meters per second (m/s).

Using the Formula:
The formula to calculate the speed of sound is:
Speed = Frequency × Wavelength

Given Data:
Frequency = 2 Hz
Wavelength = 40 cm

Converting Wavelength to Meters:
Since the speed of sound is typically measured in meters per second, we need to convert the wavelength from centimeters to meters. There are 100 centimeters in 1 meter, so the wavelength in meters can be calculated as:
Wavelength in meters = 40 cm / 100 = 0.4 m

Calculating the Speed of Sound:
Now, we can substitute the values into the formula to calculate the speed of sound:
Speed = 2 Hz × 0.4 m = 0.8 m/s

Calculating the Time:
To find the time it takes for the sound wave to travel a certain distance, we can use the formula:
Time = Distance / Speed

Given Data:
Distance = 1.6 km = 1600 m
Speed = 0.8 m/s

Calculating the Time:
Now, we can substitute the values into the formula to calculate the time:
Time = 1600 m / 0.8 m/s = 2000 seconds

Final Answer:
Therefore, it will take 2000 seconds for the sound wave to travel a distance of 1.6 km.