9514 1404 393
Answer:
1080 minutes
Explanation:
The greatest common factor (GCF) of the two times is 15 minutes, so their least common multiple is (120×135)/15 = 1080 minutes.
In that time, Kayla will have watched 9 shows, and Josh will have watched 8.
It will be 1080 minutes before they start again at the same time.