Question

Between 9 P.M. and 6:10 A.M., how many hours passed?

A) 9 hours
B) 9 hours and 10 minutes
C) 9 hours and 20 minutes
D) 9 hours and 30 minutes

Answer 1

The time that has passed between 9 P.M. and 6:10 A.M. is 9 hours and 10 minutes. Starting from 9 P.M. and going to the following morning at 6:10 A.M., we calculate 12 hours minus the remaining time until 9 A.M. which gives us the correct duration through the conversion and subtraction of time units.

Step-by-step explanation:

To figure out the time that has passed between 9 P.M. and 6:10 A.M., we can use subtraction of units of time. Starting with the hour component, we go from 9 in the evening to 9 in the morning which is 12 hours. Since we need to count only up to 6:10 A.M., we subtract the remaining 2 hours and 50 minutes (from 6:10 A.M. to 9 A.M.) from 12 hours, resulting in 9 hours and 10 minutes (12 hours - 2 hours 50 minutes = 9 hours 10 minutes).

Let's confirm our result using the subtraction and conversion of units of time:

1. 35 minutes - 10 minutes = 25 minutes.
2. 60 minutes - 10 minutes = 50 minutes.
3. 1 hour 75 minutes - 20 minutes = 1 hour 55 minutes.
4. 2 hours 10 minutes - 20 minutes = 1 hour 50 minutes.
5. 1 hour 5 seconds - 5 minutes = 55 seconds past the hour.

For conversion:

1. 3000 seconds = 50 minutes.
2. 6000 seconds = 1.6667 hours (which is 1 hour and 40 minutes).
3. 360 minutes = 6 hours.

If you cannot subtract a smaller number of minutes from a larger number, you must borrow an hour (which equals 60 minutes). Then you can subtract the minutes accordingly:

5 hours 10 minutes becomes 4 hours 70 minutes upon borrowing.

Subtracting 30 minutes from 70 minutes gives us 4 hours 40 minutes.