For MathMate:
Mythical Man Ques.
You answered my ques. several days ago, but I do not quite understand the answer.
The ques. was as follows:
If it took one person 3 months to make one quilt, why does it take 6 people four months to make one?
The other question was:
"If it takes one person 3 months to complete a task, why does it take 4 people 6 months to complete the same task?"
Has the question changed?
No
To answer this question, let's break it down step by step:
1. Start by understanding the problem:
The question states that one person takes 3 months to make one quilt. Now we need to understand why it takes 6 people four months to make one quilt.
2. Calculate the work done by one person:
One person takes 3 months to make one quilt. This means that one person can make one-third of a quilt in a month.
3. Calculate the total work done by 6 people in one month:
Since one person makes one-third of a quilt in one month, six people together will make six times that amount. So, 6 people can make 6 * (1/3) = 2 quilts in one month.
4. Calculate the total work required to make one quilt:
If 6 people can make 2 quilts in one month, it will take them 1/2 month to make one quilt. (Since they make 2 quilts in one month, one quilt will take half the time.)
5. Calculate the total time required for 6 people to make one quilt:
We know that one person takes 3 months to make one quilt. Therefore, it will take 6 people 1/2 month to make one quilt.
So, the answer is that it takes 6 people four months to make one quilt because the work is divided among them, allowing them to complete the task faster.