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?
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.
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.
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