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Nitella
2 months ago
9

An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. On

e 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.
Mathematics
2 answers:
Inessa [12.5K]2 months ago
8 0
Determine 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 equals 112. It will take 112 minutes until both buckets dump water simultaneously.

112 min = 1 hr 52 min

3:20 plus 1hr 52 min gives you 5:12

Next time, add another 112 minutes

Answers: 5:12 PM and 7:04

tester [12.3K]2 months ago
5 0
In this case, you’ll want to determine the least common multiple of 14 and 16, which is 112 (minutes)
now simply add this duration to the indicated time, resulting in
5:12 pm
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