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 determine how long it will take for all 25,000 people to board the ship, we need to calculate the total time needed for boarding.
Given:
- Number of people boarding the ship: 25,000
- Boarding rate: 400 people per hour
- Boarding time per day: 10 hours and 37 minutes
First, let's convert the boarding time per day into minutes for easier calculations. We have 10 hours and 37 minutes, which is equivalent to 10 * 60 + 37 = 637 minutes.
Next, we need to calculate how long it takes to board 25,000 people at a rate of 400 people per hour.
25,000 people / 400 people per hour = 62.5 hours
Since we can only board people for 10 hours and 37 minutes per day, we divide the total boarding time by the daily boarding time:
62.5 hours / (10 hours + 37 minutes / 60 minutes) = 62.5 / (10 + 37/60) = 62.5 / (10 + 0.617) = 62.5 / 10.617 ≈ 5.89 days
Therefore, it will take approximately 5.89 days (or around 5 days and 21 hours) for all 25,000 people to board the ship.