Final answer:
The time required for a wave to travel distance d is calculated by dividing d by the wavelength (λ) and then multiplying by the period (T), resulting in the formula: time (t) = (d ÷ λ) × T.
Step-by-step explanation:
To find the time required for a wave to travel a given distance d in terms of its wavelength (λ), period (T), and d, you can use the following algebraic expression:
time (t) = (d ÷ λ) × T
This expression comes from the understanding that wave speed (v) is equal to wavelength (λ) divided by the period (T), or v = λ ÷ T. Therefore, if you want to find the time (t) it takes for a wave to travel a distance (d), you would divide that distance by the wavelength (λ) to find how many wavelengths fit into the distance, and then multiply by the period (T) to find the total time.