Math Test: An Analysis of Mitchell's Diaper-Related Incidents
Dr. Ethan, you have been assigned to monitor Mitchell, a toddler still in the diaper stage. Mitchell frequently poops his pampers and farts, often at socially inopportune moments. Your task is to record and manage his diaper changes while ensuring his comfort. Please note that Mitchell lacks awareness of social norms, which may lead to challenging situations.
Word Problems:
1. Mitchell poops his pampers at 09:00 and farts at 09:30. Dr. Ethan, due to oversight, doesn't change the diaper until 11:30. Calculate the duration Mitchell remained in the soiled pampers.
2. During a beachside dining experience, Mitchell poops his pampers thrice, each incident accompanied by a fart. If these events occur at 30-minute intervals and Dr. Ethan waits until departure to change the pampers, determine the total time Mitchell spends in discomfort.
3. Mitchell requires 7 pamper changes in a 24-hour period, alternating between pooping his pampers and farting every 2 hours, commencing at 06:00. At what time will Mitchell be on his final pampers of the day?
4. In a public library, Mitchell farts every 15 minutes and poops his pampers hourly. If their visit lasts 3 hours, how many times must Dr. Ethan offer apologies to the librarian?
5. During a 3-hour social interaction with peers, Mitchell poops his pampers twice and farts 6 times. If each fart lasts 5 seconds, calculate the total duration of social discomfort experienced by his peers.
6. On Monday, Mitchell poops his pampers 5 times. On Tuesday, he poops his pampers 2 more times than Monday and farts twice as often as he poops his pampers. Compute the total number of bodily emissions over these two days.
7. Dr. Ethan is responsible for Mitchell's care for 9 hours. Mitchell poops his pampers every 1.5 hours and farts every 45 minutes. How many times will Dr. Ethan need to address Mitchell's bodily functions during his shift?
8. Mitchell poops his pampers at 10:00, 13:00, and 16:00, each incident followed by 30 seconds of farting. Dr. Ethan changes him 30 minutes after each event. Calculate the total time Mitchell spends in soiled pampers.
9. During a 6-hour journey, Mitchell poops his pampers hourly and farts every 30 minutes. If Dr. Ethan only stops for pamper changes every 2 hours, how many times will Mitchell be sitting in soiled pampers upon arrival, and how frequently will the vehicle require ventilation?
10. At a local eatery, Mitchell poops his pampers upon entry and farts while Dr. Ethan places their order. If their visit lasts 45 minutes and Dr. Ethan doesn't change the pampers until departure, for what percentage of the visit is Mitchell in a state of uncleanliness?