Final answer:
To find the number of minutes it will take Maria to walk the remaining distance to the library at the same rate, we can set up a proportion using the percentage of the distance already walked.
Step-by-step explanation:
To find the number of minutes it will take Maria to walk the remaining distance to the library at the same rate, we need to determine the percentage of the distance remaining. Since Maria has already walked 75% of the distance, the remaining distance is 100% - 75% = 25%. Now we can set up a proportion to solve for the number of minutes needed.
Let's say it took Maria x minutes to walk 75% of the distance from her home to the library. This means that x minutes represent 75% of the total distance. Using the proportion:
x minutes / 75% = remaining minutes / 25%
Simplifying the proportion, we have:
x / 0.75 = remaining minutes / 0.25
Cross multiplying, we get:
x * 0.25 = remaining minutes * 0.75
Simplifying further:
0.25x = 0.75 * remaining minutes
Dividing both sides by 0.25, we have:
x = 0.75 * remaining minutes / 0.25
So, it will take Maria 0.75 * remaining minutes / 0.25 minutes to walk the remaining distance to the library at the same rate.