Final answer:
Solving for speed and solving for time are similar because they both involve writing a rate, which is a comparison of two different quantities with different units.
Step-by-step explanation:
How solving for speed is similar to solving for time involves understanding the relationship between the two concepts. Speed is defined as the distance covered divided by the time it takes to cover that distance. When solving for speed, you rearrange the equation to speed = distance/time. Conversely, when solving for time, you change the arrangement to time = distance/speed. Neither of them inherently requires addition or subtraction of two numbers, as suggested by the options provided. Both processes involve writing a rate, which is a comparison of two different quantities with different units of measure.
The correct answer to the student's question is (c) They both involve writing a rate. Since you are calculating a rate, which is a comparative measure that consists of two different quantities, this is what makes the process of solving for both speed and time similar.