Question

Brett, Lucy, and Donnie are each making trips carrying bags of mulch from the back losing dock to the front of the store. It takes Brett 3 minutes to make a trip Lucy 5 minutes to make a trip and Donnie 6 minutes to make a trip. How many minutes until they all arrive back at the same time?​

Answer 1

30 minutes

Explanation:

3*10=30

6*5=30

30 is the lowest common multiple of all of the factors/numbers

Answer 2

Answer: 30 minutes.

Explanation:

Given : Brett, Lucy, and Donnie are each making trips carrying bags of mulch from the back losing dock to the front of the store.

It takes Brett 3 minutes to make a trip , Lucy 5 minutes to make a trip and Donnie 6 minutes to make a trip.

Then , the number of minutes at which they all arrive back at the same time= Least common multiple of 3,5, and 6 i.e. LCM(3, 5, 6)

Prime factorization :-

`3=3*1\\5=5*1\\6=3*2*1`

Then,
`\text{LCM(3, 5, 6)}=3*2*5=30`

Hence, they all arrive after 30 minutes at the time.