Question

Juanita runs every third day and swims every fifth day. If Juanita runs and swims today,in how many days will she run and swim again on the same day? (please show your work)

Answer 1

Juanita will run and swim again on the same day in 15 days from today

Explanation:

Hi

As Juanita runs every third day and nothing every fifth day. We can see that 3 and 5 are prime numbers, so they have no common factors between them.

Then we see their multiples

`3=3,6,9,12,15,.....\\5=5,10,15,.....`

Therefore
`15` is the minimum multiple common, Juanita will run and swim again on the same day in 15 days from today, and every 15 days, so on.