To determine the number of flashcards each student will have when Rafi catches up to Tori and how long it will take, we need to calculate the time it takes for Rafi to make the same number of flashcards as Tori.
Let's start by finding the difference in the number of flashcards between Tori and Rafi. Tori currently has 5 flashcards, and Rafi hasn't started yet, so the difference is 5 flashcards.
Next, we need to find the rate at which Rafi catches up to Tori. Rafi makes 5 flashcards per minute, while Tori makes 4 flashcards per minute. This means Rafi is making flashcards 1 card per minute faster than Tori.
Since Rafi needs to make 5 flashcards to catch up, we can divide the difference of 5 flashcards by the rate of 1 flashcard per minute to find the time it takes.
5 flashcards / 1 flashcard per minute = 5 minutes
So, it will take Rafi 5 minutes to catch up to Tori.
At that point, Tori would have made an additional 4 flashcards per minute for 5 minutes, totaling 20 flashcards. Therefore, Tori will have 5 + 20 = 25 flashcards.
Rafi, who catches up to Tori after 5 minutes, will also have made 5 flashcards per minute for 5 minutes, totaling 25 flashcards.
In conclusion, when Rafi catches up to Tori after 5 minutes, both students will have 25 flashcards each