Question

On a digital clock, what is the number that represents the number of hours, if it is know that the remaining part of the day is 60% of the part of the day that has passed?

Answer 1

see the explanation

Explanation:

Let

x ----> the remaining part of the day

y ----> the part of the day that has passed

we know that

In a day we have 24 hours

`x+y=24` ----> equation A

`x=0.60y` ----> equation B

Solve the system by substitution

substitute equation B in equation A

`0.60y+y=24`

solve for y

`1.60y=24\\y=15`

so

In a digital clock the number that represent the number of hours is 15:00 (Military time)

In military time, the hours are numbered from 00 to 23

To convert to standard time

15;00-12:00=3:00 pm