Question

1. for the three - part question that follows, provide your answer to each part in the given workspace. identify each part with a coordinating response. be sure to clearly label each part of your response as part a, part b, and part c.

tricia is planning a vacation. her family has an 8 - hour drive to her aunts house, and they estimate that they will need to stop for a total of 1 hour. they want to be there an hour before dinner, which is at 6 p.m. they plan to go to a movie 2 hours after they finish dinner, which usually takes 45 minutes.
part a: what time should tricias family leave their house to arrive on time?
part b: what time will dinner be over?
part c: create a timeline of the day that tricias family will leave on their vacation.

Explanation:

Part A

Step1: Calculate total travel time

The drive is 8 hours and stops are 1 hour, so total travel time is \( 8 + 1 = 9 \) hours.

Step2: Determine arrival time

They need to arrive 1 hour before dinner (6 p.m.), so arrival time is 5 p.m.

Step3: Calculate departure time

Subtract total travel time from arrival time. 5 p.m. minus 9 hours: 5 - 9 = -4, so we add 12 to get 8 a.m. (since going back 9 hours from 5 p.m. (17:00 in 24 - hour time) is 17 - 9 = 8, so 8 a.m.).

Step1: Dinner start time

Dinner is at 6 p.m.

Step2: Add dinner duration

Dinner takes 45 minutes, so 6 p.m. + 45 minutes = 6:45 p.m.

• Departure: 8:00 a.m. - Leave home.
• Travel & Stops: 8:00 a.m. - 5:00 p.m. (8 - hour drive + 1 - hour stops, arriving at 5:00 p.m.).
• Before Dinner: 5:00 p.m. - 6:00 p.m. - Wait for dinner.
• Dinner: 6:00 p.m. - 6:45 p.m. - Have dinner.
• After Dinner to Movie: 6:45 p.m. - 8:45 p.m. - Wait 2 hours for the movie (movie starts at 8:45 p.m.).

Answer:

Tricia's family should leave at 8 a.m.

Part B