Kayla and Josh are watching marathons of their favorite TV show. Episodes of Kayla's show are 120 minutes long, while episodes o

Question

3 years ago

7

Kayla and Josh are watching marathons of their favorite TV show. Episodes of Kayla's show are 120 minutes long, while episodes o

f Josh's show are 135 minutes long. If they start their TV binge at the same time, how many minutes will it be before they start another episode at the same time?

Mathematics

1 answer:

zhannawk [14.2K] · Answer 1 · 2022-06-25T06:08:50+03:00

9514 1404 393

Answer:

1080 minutes

Step-by-step 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.