The ski trip has to be cancelled. All 28 people must be told. In the first hour 2 people each call 2 people. The next hour each of the people called the hour before calls 2 people, and so on. How many hours will it take for all 28 people to be called?
1 hour -- 4
2 -- 8
3 -- 16
4 -- 32
Not understanding I am getting 3hrs for 28 people
In the first hour, 2 * 2 = 4 people know.
In the second hour, each of those 4 people call 2 others -- so now 8 people know.
Etc.
I see thank you!
You're welcome.
To solve this problem, we can break it down step by step. Let's start from the first hour.
In the first hour, 2 people each call 2 people. This means that 4 people are called in total (2 people x 2 calls each).
In the second hour, each of the 4 people who were called in the previous hour will call 2 people each. So, we have 4 people x 2 calls each = 8 calls.
In the third hour, each of the 8 people who were called in the previous hour will call 2 people each. So, we have 8 people x 2 calls each = 16 calls.
This pattern continues as follows:
- 4th hour: 16 people x 2 calls each = 32 calls
- 5th hour: 32 people x 2 calls each = 64 calls
From this pattern, we can see that the number of calls doubles each hour. However, we need to consider that we only have 28 people to call. Once we reach or exceed the total number of people, we can stop counting.
Let's summarize the number of people called in each hour:
- 1st hour: 4 people called
- 2nd hour: 8 people called
- 3rd hour: 16 people called
- 4th hour: 32 people called (exceeds the total number of people)
Therefore, it will take 4 hours for all 28 people to be called.