A factory that runs 24 hours a day, 7 days a week, has shifts for its workers that are 7 hours long. If a shift starts on Sunday morning at 6AM, at what time does the earliest shift on the next Friday start?

Determine total hours between Sunday morning at 6AM to 12AM midnight Friday = 114hrs.

In the 114hr, 16 full shifts would have would have been completed --ie 114hrs/7hrs = 16.
Total time for 16 shifts is 16 * 7 =112hrs.
So that means a new shift started at 10PM on Thursday and will run until 5AM Friday.
Therefore the earliest shift on the next Friday start at 5AM

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This is a homework question lol

To find the time at which the earliest shift on the next Friday starts, we need to calculate the time duration from Sunday 6AM to Friday.

First, let's calculate the total number of hours from Sunday 6AM to Friday.

Since the factory runs 24 hours a day, 7 days a week, the total number of hours in a week is 24 hours/day * 7 days/week = 168 hours/week.

The number of hours from Sunday to Friday is 6 days * 24 hours/day = 144 hours.

Next, we need to subtract the remaining hours for Friday.

Since the shifts are 7 hours long and start at 6AM, the remaining hours for Friday would be 7 hours - 6AM.

To calculate this, we need to convert 6AM to the 24-hour clock format. 6AM in the 24-hour clock format is 06:00.

Therefore, the remaining hours for Friday would be 7 hours - 06:00 = 1 hour (since there is only 1 hour remaining from 6AM to 7AM).

Now, subtract the remaining hours for Friday from the total hours from Sunday to Friday: 144 hours - 1 hour = 143 hours.

To convert 143 hours back to the day and time format, we can divide by 24 to get the number of days and take the remainder as the number of hours.

143 hours / 24 = 5 days with a remainder of 23 hours.

The earliest shift on the next Friday will start 5 days and 23 hours from Sunday 6AM.

Therefore, the earliest shift on the next Friday will start on Friday at 5:00 AM.