Hers is another one: 3 people requires 3 weeks and 2 days to do a job. How long would it take for 4 people to do the same job? (Each week is 6 days)
Convert time to days only to avoid confusion.
Assuming the relation between people and time is linear, setup two fractions and set them equal to each other.
18
It is hard
To solve this problem, let's first convert the given time to days only. We know that each week is 6 days, so 3 weeks and 2 days would be equal to 3 * 6 + 2 = 20 days.
Now, let's set up two fractions to represent the relationship between the number of people and the time it takes to do the job. Let x represent the number of days it would take for 4 people to do the job.
The first fraction can represent the time it takes for 3 people to do the job:
3 people / 20 days
The second fraction can represent the time it takes for 4 people to do the job:
4 people / x days
Now, to set up the equation, we can set these two fractions equal to each other:
3/20 = 4/x
To solve for x, we can cross-multiply and then divide:
3x = 4 * 20
3x = 80
x = 80/3
So, it would take approximately 26.67 days for 4 people to do the same job.