Question

Question 4 (1 point) Lola and Keegan auditioned for the talent show. They decided to rap a new song. Keegan would sing every 8 seconds and Lola would sing every 14 seconds. If they sang together at the 2 minute and 10 second mark, when will they sing together again? They will sing together again at the min second mark.

Answer 1

56th second

Explanation:

Given

`Lola = Every\ 8\ seconds`

`Keegan = Every\ 14\ seconds`

`Time = 2\ minutes\ 10\ seconds`

Required

Determine when they sing together

First, we convert the total time to seconds.

`Time = 2\ minutes\ 10\ seconds`

`Time = 2 * 60\ seconds + 10\ seconds`

`Time = 120\ seconds + 10\ seconds`

`Time = 130\ seconds`

Next, we determine the Least Common Multiple of Lola and Keegan's time:

Lola:

`8\ seconds = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128`

Keegan:

`14\ seconds = 14, 28, 42, 56, 70, 84, 98, 112, 126`

The least common multiple is 56. Hence, they will sing together at the 56th second