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Jack is taking medications for a recent illness. Every 6 hours he takes an antibiotic, every 4 hours he takes a pain reliever, and every 3 hours he drinks a glass of water. If he starts this regime at 10 am, at what time will he be taking both medicines and a glass of water?

Verified Answer :

he'd take the antibiotics at 4pm, the pain reliever at 2pm and water at 1pm

At 10p.m that is after 12 hours of time gap he be taking both medicines and a glass of water.

What is least common multiple?

" Least common multiple is defined as the smallest number which is a multiple of given set of numbers."

According to the question,

Given,

Time to start regime = 10am

Time to take antibiotic =Every 6hours

Time to take pain reliever =Every 4hours

Time to drink a glass of water =Every 3hours

Least common multiple of ( 6, 4, 3) = 12

After 12 hours Jack is taking both medicines and a glass of water.

Start regime at 10am

Time after 12hours is 10pm.

Hence, at 10p.m that is after 12 hours of time gap he be taking both medicines and a glass of water.

Learn more about least common multiple here

https://brainly.com/question/13696879

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