A convoy of transport vehicles with goods at a speed of 35 km/h will start moving at exactly five in the morning to travel a distance of 1,330 km. According to the movement plan, there are rest periods during the day from 11 am to 3 pm and at night from 1 am to 4 am. Calculate the time it will take the convoy to reach its destination, including rest periods. At what time does the convoy reach its destination?
Accepted Solution
A:
The convoy is traveling a distance of 1,330 km at a speed of 35 km/h.
Time on the road = Distance / Speed
Time on the road = 1,330 km / 35 km/h
Time on the road = 38 hours
Calculate the time spent on rest periods:
(a) Rest period during the day: 11 am to 3 pm is a 4-hour rest period.
(b) Rest period at night: 1 am to 4 am is a 3-hour rest period.
Total time spent on rest periods = 4 hours + 3 hours = 7 hours
Calculate the total time, including rest periods:
Total time = Time on the road + Total time on rest periods
Total time = 38 hours + 7 hours
Total time = 45 hours
The convoy will take 45 hours to reach its destination.
Now, to find out at what time the convoy reaches its destination, you need to add this time to the starting time of 5:00 AM.
5:00 AM + 45 hours = 50 hours
Since there are 24 hours in a day, you need to subtract 24 hours to find the time on the next day:
50 hours - 24 hours = 26 hours
So, the convoy will reach its destination 26 hours after 5:00 AM. To convert this to the time on the clock:
5:00 AM + 26 hours = 7:00 AM
The convoy will reach its destination at 7:00 AM on the following day.