Final answer:
Mrs. Boucher works for 18,000 seconds a day. Converting this into hours, Mrs. Boucher works for 5 hours a day. After subtracting 45 minutes for lunch, she works a total of 4.25 hours each day.
Step-by-step explanation:
The question requires converting time spent at work from seconds to hours and incorporating the lunch break. Mrs. Boucher spends 18,000 seconds at work. To find out how many hours that is, we divide the total seconds by the number of seconds in an hour (3,600 seconds).
18,000 seconds ÷ 3,600 seconds/hour = 5 hours
Mrs. Boucher has 45 minutes for lunch, which needs to be subtracted from the total working hours.
Since there are 60 minutes in an hour, to convert 45 minutes to hours, divide it by 60:
45 minutes ÷ 60 minutes/hour = 0.75 hours
Now, let's subtract the lunch break from the total hours worked:
5 hours - 0.75 hours = 4.25 hours
Mrs. Boucher works a total of 4.25 hours each day.