Question

Item 16 An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 21 minutes. It is currently 1:15 P.M. And both buckets dumped water 5 minutes ago. Find the next two times that both buckets dump water at the same time. Item 16 An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 21 minutes. It is currently 1:15 P.M. And both buckets dumped water 5 minutes ago. Find the next two times that both buckets dump water at the same time.

Answer 1

• 3:16 P.M.
• 5:22 P.M.

Explanation:

The two dump intervals have a greatest common factor (GCF) of 3, so their least common multiple (LCM) is ...

(18)(21)/3 = 126 . . . . minutes

This period is 2 hours 6 minutes. The last time both dumped was 1:10, so the next time both will dump is ...

1:10 +2:06 = 3:16 . . . P.M.

and the next time after that is ...

3:16 +2:06 = 5:22 . . . P.M.