Question

There is no cure for the common cold, but here are some things you can do. Grandma was right—chicken soup actually is good for a cold! One serving of soup every 4 hours. Zinc lozenges could help you get better sooner. One lozenge every 6 hours. Aspirin, acetaminophen, and ibuprofen to relieve some symptoms: two tables every 2 hours. If in addition to the soup (every 4 hours), the lozenges (every 6 hours), and the aspirin (every 2 hours) you take a 12-hour nasal spray and you start your medications at 12 P.M., in how many hours will you have to take all four medicines again?

Answer 1

Answer:

12 hours

Step-by-step explanation:

The time intervals between dosages are:

Soup: 4 hours

Zinc lozenges: 6 hours

Aspirin: 2 hours

Nasal spray: 12 hours

To find in how many hours you will take all four medicines again, find the least common multiple to all time intervals:

$LCM\\\\\begin{array}{ccccc}2&4&6&12&|2\\1&2&3&6&|2\\1&1&3&3&|3\\1&1&1&1\end{array} \\\\LCM = 2*2*3=12$

You will have to take all four medicines again in 12 hours.