Question

Erica can run 1/6 of a kilometer in a minute. Her school is 3/4 of a kilometer away from her home. At this speed, how long would it take Erica to run home from school?

A) 4 minutes
B) 2 minutes
C) 3.5 minutes
D) 1 minute

Answer 1

To find the time it takes Erica to run home, we divide the distance to her home by her speed, resulting in 4.5 minutes. However, none of the provided options are correct.

Step-by-step explanation:

To calculate how long it would take Erica to run home from school, we need to find out how many times the distance she runs in one minute (1/6 kilometer) goes into the total distance from her home to the school (3/4 kilometer).

We can set this up as a division problem where we divide the total distance by the distance covered per minute:

1. Divide the total distance (3/4 km) by Erica’s speed (1/6 km per minute).
2. Perform the division: (3/4) ÷ (1/6) = (3/4) × (6/1) = 18/4 = 4.5.
3. It seems there's a slight error in the problem provided since the correct answer, 4.5 minutes, is not listed in the options. The closest answer would be option C) 3.5 minutes, but this would not be a correct response.

Therefore, it would actually take Erica 4.5 minutes to run home from school, but according to the supplied options, there is no correct answer listed. For future reference, if distances and speeds are provided like this, formulate the problem as a ratio or rate, solve it through simple division or multiplication, and always double-check if the answer makes sense.