To solve this problem, we can start by finding out the total amount of work needed to plant the garden in terms of student-hours.
-
Calculate total student-hours needed: If 6 students can complete the garden in 5 hours, we can calculate the total number of student-hours required:
\[ \text{Total student-hours} = \text{Number of students} \times \text{Time in hours} = 6 \times 5 = 30 \text{ student-hours} \]
-
Determine the new time requirement: Now, we want to complete the same amount of work (30 student-hours) in 3 hours. Let \( x \) represent the total number of students needed to complete the garden in this time frame.
\[ \text{Total student-hours} = x \times 3 \]
-
Set up the equation: We can set the total student-hours equal to the amount we calculated earlier:
\[ x \times 3 = 30 \]
-
Solve for \( x \):
\[ x = \frac{30}{3} = 10 \]
This means 10 students are needed to complete the garden in 3 hours.
-
Determine additional students needed: Since they already have 6 students, we need to find out how many additional students are needed:
\[ \text{Additional students} = x - \text{Current students} = 10 - 6 = 4 \]
Therefore, they should get 4 additional students to help complete the garden in 3 hours.