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 16 minutes. the other bucket dumps water every 14 minutes. it is currently 3: 25 p.m. and both buckets dumped water 5 minutes ago. find the next two times that both buckets dump water at the same time.

Here is the solution of the given problem above.
Bucket A: dumps every 16 minutes
Bucket B: dumps every 14 minutes
Last time they both dump water: 3:20p.m.
The first thing we need to do is to find the LCM.
14 and 16 / 2 = 7 and 8.
LCM: 2x7x8 = 112 minutes from the last time and this is equivalent to 1 hour and 52 minutes. So 3: 20 p.m + 1: 52 p.m = 4: 72 
since there are only 60 minutes in an hour, the result would be 5: 12P.M.
So the first time that they dump water is at 5:12 P.M
Next, 5: 12 p.m + 1 hour and 52 minutes is 6:64 which gives us 7:04 pm. Therefore, the next two times that both buckets dump water at the same time are 5:12 P.M and 7:04 P.M. Hope this answer helps.

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