Final answer:
The correct equation for the distance covered by Mr. James on his return after t hours, assuming a constant speed represented by c, is given by the formula d = t×c, which aligns with option B from the choices provided. Option B is correct.
Step-by-step explanation:
To determine the equation that represents the distance, d, covered by Mr. James on his return after t hours, we need to consider the relationship between distance covered, time, and speed. The standard formula for distance in physics is d = v × t, where v is the constant speed and t is the time.
Since no speed is given, but there is a constant c in the options, we can assume c represents the speed. Thus, the correct equation should include a multiplication of the time and a constant speed, which is represented by the formula d = c × t.
This aligns with option B from the given choices, which states d = t×c. Since the question does not indicate any initial distance or that the speed changes with time (acceleration), options A, C, and D are not applicable in this context.