A group of students drove from Lawrence, KS to Denver, CO. They passed a restaurant 111 miles from Lawrence at 10 pm and stopped at a gas station 370 miles from Lawrence at 1:45 am. Using cruise control, they maintained a constant speed driving from the restaurant to the gas station. (Round numeric answers to the nearest hundredth.)
a. Between 11:06 pm and 12:31 a.m., what was the change in time in hours?
11:06 - midnight = 0:54
midnight - 12:31 = 0:31
Total: 0:85 = 1:25 or 1 25/60 = 1 5/12 hours
To find the change in time between 11:06 pm and 12:31 am, we need to subtract the starting time from the ending time.
First, let's convert both times to a 24-hour format for easier calculations.
11:06 pm is 23:06 in the 24-hour format.
12:31 am is 00:31 in the 24-hour format.
Now, let's calculate the change in hours by subtracting the starting time from the ending time.
00:31 - 23:06 = 01:25
However, we need to consider that this calculation represents the change in time past midnight. To convert it to a proper time interval, we subtract 24 hours from the result.
01:25 - 24:00 = -22:35
This means that the change in time between 11:06 pm and 12:31 am is -22 hours and 35 minutes.
Please note that it's unusual to have negative time values. In this case, it indicates that the time duration crossed midnight, and the ending time is actually earlier than the starting time of the same day.