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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.

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wizard123
Find the least common multiple of 14 and 16.

14 = 7*2   ----> multiply by 8 ----> 8*7*2 = 112
16 = 8*2 ----> multiply by 7  -----> 7*8*2 = 112

The LCM is 112. This means it will be 112 minutes before they dump water at the same time.

112 min = 1 hr 52 min

3:20 + 1hr 52 min = 5:12

For the next time, add another 112 minutes

Answers: 5:12 PM  and  7:04

jg71
for this, you want to find the least common multiple of 14 and 16 which is 112 (minutes)
now just add this to the time given which gives you
5:12 pm

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