Tony's family wants to arrive at the family reunion at 5:00 pm for the supper that is being planned. Driving time will be about 6 hrs 30 mins. They plan to stop for gas one time for 10 mins. They also will stop for lunch for 45 mins. At what time should they leave in order to arrive by 5:00 pm?

driving 6.5 hr

gas 1/6 hr
lunch 3/4 hr

sum = 7.41666666... hr

= 7 hours + .416666.. * 60 min

= 7 hours and 25 minutes

so
that is 5 hours to noon + 2 hours 25 minutes before noon

sounds like 9:35 am

Drive is 6 hours 30 min

Stop for gas is 10 min

Now we have 6 hrs and 40 min.

45 min for lunch so 6 hrs and 85 minutes

I hour = 60 minutes so you have 7 hours 20 minutes

Can you use this information to figure out when to leave?

Thank you.

45 min for lunch so 6 hrs and 85 minutes

I hour = 60 minutes so you have 7 hours 20 minutes

I think 25 minutes

Tony's family wants to arrive at the family reunion at 5:00 pm for the supper that is being planned. Driving time will be about 6 hrs 30 mins. They plan to stop for gas one time for 10 mins. They also will stop for lunch for 45 mins. At what time should they leave in order to arrive by 5:00 pm?

To calculate the departure time, we need to consider the driving time as well as the time needed for gas and lunch breaks. Let's break it down step by step:

1. Start with the desired arrival time, which is 5:00 pm.
2. Subtract the driving time of 6 hours and 30 minutes from the desired arrival time.
- If you convert the driving time to minutes, it would be 6 hours x 60 minutes/hour + 30 minutes = 390 minutes.
- So, subtracting 390 minutes from 5:00 pm (which is 300 minutes) would give you 390 minutes - 300 minutes = 90 minutes.
- 90 minutes is equivalent to 1 hour and 30 minutes.
3. Add up the additional time needed for the gas and lunch breaks:
- 10 minutes for the gas stop
- 45 minutes for lunch
- In total, that's 10 minutes + 45 minutes = 55 minutes.
- Convert 55 minutes to hours: 55 minutes ÷ 60 minutes/hour = 0.9167 hours (rounded to four decimal places).
4. Finally, subtract the additional time from step 3 (0.9167 hours) from the 1 hour and 30 minutes (or 1.5 hours) from step 2:
- 1.5 hours - 0.9167 hours = 0.5833 hours (rounded to four decimal places)
- Convert 0.5833 hours to minutes: 0.5833 hours x 60 minutes/hour = 35 minutes (rounded to the nearest whole minute).

Therefore, they should leave 1 hour and 35 minutes before 5:00 pm to arrive on time.

To calculate the departure time, subtract 1 hour and 35 minutes from 5:00 pm:
5:00 pm - 1 hour and 35 minutes = 3:25 pm.

Tony's family should leave at 3:25 pm to arrive at the family reunion by 5:00 pm.