Question

How long would it take Erica to run home from school at her speed?

a) 1.5 minutes
b) 2.25 minutes
c) 2.5 minutes
d) 3 minutes

Answer 1

Erica's running speed
`(\(s\))` is inversely proportional to the time it takes to run home. The correct answer, 2.5 minutes, is deduced by considering this relationship, where higher speeds result in shorter times. The other options (a, b, d) can be ruled out based on this logic, reinforcing the accuracy of the selected answe 2.5 minutes Thus the correct option is C.

Step-by-step explanation:

Erica's running speed is crucial to determining the time it takes her to run home from school. Let's denote her speed as
`\( s \)` in distance per minute. The formula
`\( \text{{time}} = \frac{{\text{{distance}}}}{{\text{{speed}}}} \)` is applicable here. As the distance (home to school) remains constant, the time taken is inversely proportional to the speed. The greater the speed, the shorter the time.

Now, let's analyze the answer options:

a) 1.5 minutes - This would imply a higher speed, leading to an unrealistically short time.

b) 2.25 minutes - Again, a higher speed compared to the correct answer.

c) 2.5 minutes - This aligns with our reasoning, and it's the correct answer.

d) 3 minutes - This would suggest a slower speed, resulting in a longer time, which is not consistent with the logic.

Therefore, the most reasonable and correct answer is c) 2.5 minutes, assuming Erica's speed remains constant during her run home.

In conclusion, when faced with such problems, understanding the relationship between speed, time, and distance is crucial. The chosen answer aligns with the logical interpretation of the situation, ensuring a realistic and plausible solution. Always be mindful of the context and use the relevant formulas to arrive at the correct answer.(option c)