Question

In the military, 1/4 of an enlisted person's time is spent sleeping and eating, 1/12 is spent standing at attention, 1/6 is spent staying fit, and 2/5 is spent working. The rest of the time is spent at the enlisted person's own discretion. How many hours per day does this discretionary time amount to?

Answer 1

The enlisted person has 2 hours of discretionary time per day.

Step-by-step explanation:

To find the amount of discretionary time spent by the enlisted person, we need to subtract the time spent on sleeping, eating, standing at attention, staying fit, and working from the total 24 hours in a day.

Given that 1/4 of the time is spent sleeping and eating, that amounts to 1/4 x 24 = 6 hours.

Similarly, 1/12 of the time is spent standing at attention, which is 1/12 x 24 = 2 hours.

1/6 of the time is spent staying fit, which is 1/6 x 24 = 4 hours.

And 2/5 of the time is spent working, which is 2/5 x 24 = 9.6 hours (approximated to 10 hours).

Therefore, the remaining discretionary time is 24 - 6 - 2 - 4 - 10 = 2 hours.

Answer 2

all you have to do is add all of the fractions up.