If 25000 people board a ship at a rate of 400 per hour for 10 hours a 37 minutes a day. How long will it take for them to all board the ship?
To find out how long it will take for all 25,000 people to board the ship, we need to calculate the total time it takes to board each group of 400 people and then add those times together.
First, let's calculate how many groups of 400 people can board the ship in 10 hours and 37 minutes. We can convert the time to minutes to make calculations easier.
10 hours = 10 * 60 = 600 minutes
37 minutes = 37 minutes (no conversion needed)
Add the two times together:
600 minutes + 37 minutes = 637 minutes
Now, let's calculate how many groups of 400 people can board the ship in 637 minutes:
25,000 people / 400 people per group = 62.5 groups
Since we can't have a fraction of a group, we will round up to the nearest whole number:
63 groups
To find out how long it will take for all 63 groups to board the ship, we multiply the number of groups by the time it takes to board each group:
63 groups * 637 minutes = 40,131 minutes
To convert the result back into hours and minutes, we divide by 60 (since there are 60 minutes in an hour):
40,131 minutes / 60 = 668.85 hours
Since we can't have a fraction of an hour, we round up to the nearest whole number:
669 hours
So, it will take approximately 669 hours for all 25,000 people to board the ship.