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 10am, at what time will he be taking both medicines and a glass of water?

Respuesta :

10PM because 6, 4, and 3 are all factors of 12. So in 12 hours it will be 10PM

Jack will be taking both medicines and a glass of water at exactly 10 P.M. at night.

We have the medicine schedule of jack -

Every 6 hours he takes an antibiotic.

Every 4 hours he takes a pain reliever.

Every 3 hours he drinks a glass of water.

We have to find out if he starts this regime at 10 am, at what time will he be taking both medicines and a glass of water.

What do you mean by HCF of two or more numbers?

HCF of given numbers is the highest of all the common factors of the given numbers.

In the question given to us -

Let us create a tabular form of jack's schedule of medicine intake if he starts this regime at 10 A.M. -

Antibiotic -                 4 pm             10 pm             4 am         10 am

Pain reliever -            2 pm             6 pm               10 pm        2 am      

Glass of Water -         1 pm             4 pm               7 pm         10 pm

We can see that - the bolded value is the common value among all which is equal to 10 pm.

Hence, jack will be taking both medicines and a glass of water at exactly 10 P.M. at night.

To solve more questions on HCF, visit the link below-

https://brainly.com/question/12024611s

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