What is the formula of the distance traveled (d) in terms of speed (s) and time (t)?

• A. d = s + t
• B. d = s/t
• C. d = s × t
• D. d = s - t

Answer: (C)

The distance traveled can be calculated using the formula that incorporates both speed and time, reflecting the relationship between these three variables. When an object is moving at a constant speed over a period of time, the total distance it covers is equal to its speed multiplied by the time it travels. Mathematically, this is represented as ( d = s \times t ), where ( d ) is the distance, ( s ) is the speed, and ( t ) is the time.

This formulation is based on the concept that if you know how fast something is going (the speed) and for how long it has been moving (the time), you can determine how far it has traveled (the distance). For instance, if a car is traveling at a speed of 60 kilometers per hour for 2 hours, the distance traveled would be ( 60 , \text{km/h} \times 2 , \text{h} = 120 , \text{km} ).

The other options do not accurately represent the relationship between distance, speed, and time. The addition, division, and subtraction proposed in those choices do not conform to the physical principles underlying motion. Thus, the correct relationship is captured by