Ramon and Justine are watching different broadcasts of a parade on television. The broadcast Ramon is watching airs commercials every 17 minutes. The broadcast Justice is watching airs commercials every 14 minutes. Both broadcasts started at 7:00 a. m. and are scheduled to end at 9:00 a. m. When will commercials air on both broadcasts at the same time?

Explain your reasoning.

Since there is a short difference between the starting and ending times, we calculate the schedule of each commercial and then compare the broadcasting times.

Commercials of the broadcast Ramon is watching air at:

7.17, 7.34, 7. 51, 8.08, 8.25, 8. 42 8.59 a. m.

Commercials of the broadcast Justice is watching air at:

7.14 7.28 7.42 7. 56 8.10 8.24 8.38 8.52 a. m.

we can check that there are no matching commercial times.

The commercials will not air on both broadcasts at the same time in the interval 7:00 a. m to 9:00. a. m

Answer: never