Question

Two radio stations are playing the #1 hit song "2 Nice 2 B True" by Anita and the Goody-2-Shoes. WMTH plays the song every 12 minutes. WMSU plays the song every 8 minutes. Both stations play the song at 3:00 P.M. When is the next time the stations will play the song at the same time?

Answer 1

03:24 PM

Explanation:

Given

`Start\ Time = 3:00PM`

WMTH = Every 12 minutes

WMSU = Every 8 minutes

Required

Determine when they both play the song

To do this, we simply solve for the LCM of 8 and 12

List the factors of 8 and 12

`8 : 8, 16, 24...`

`12: 12, 24, 36...`

From the above, the least common multiple is 24

This means that the song will be played on both stations 24 minutes after 3:00PM

In other words, 03:24 PM