bob started each work on the hour. one day he decided to start work twenty minutes early. he started work when his digital watch had consecutive numbers. what time did he start work
To find out what time Bob started work on the day he decided to start twenty minutes early and when his digital watch had consecutive numbers, you can follow these steps:
1. Determine the possible set of consecutive numbers that could be displayed on a digital watch. Since a digital watch typically displays the time in hours and minutes, the numbers would be consecutive in a twelve-hour format (from 1 to 12). For example, consecutive numbers could be 9 and 10, 11 and 12, or even 12 and 1 (considered consecutive due to the cyclic nature of time).
2. Subtract twenty minutes from each of the potential consecutive sets determined in step 1 to find a potential start time. For example, if the consecutive set is 9 and 10, subtracting twenty minutes would give us 8:40 or 9:20. Similarly, for 11 and 12, subtracting twenty minutes would result in 10:40 or 11:20.
3. Check whether any of the potential start times match Bob's habit of starting work each hour. Since Bob started work on the hour, the minutes component of the potential start time should be zero. For example, 8:40 or 9:20 would not be valid start times because the minutes component is not zero. However, 10:40 and 11:20 would be valid start times.
Therefore, Bob could have started work at either 10:40 or 11:20 if he decided to start twenty minutes early when his digital watch had consecutive numbers.