The number of problems solved per hour is proportional to the number of team members solving the problems.
- The number of team members needed to solve 39 problems in one hour are 6 team members.
Reasons:
The time it takes 2 members to solve 13 problems = 1 hour
The rate at which each team member solve problems = The same rate
Required:
The number of team members to solve 39 problems in 1 hour
Solution:
The time it takes 2 members to solve 13 problems = 1 hour
Let x represent the number of team members needed to solve 39 problems in 1 hour.
Using a proportional relationship approach, given that the duration is the same, we have;
- [tex]\displaystyle \frac{2}{x} = \mathbf{\frac{13}{39}} = \frac{1}{3}[/tex]
[tex]\displaystyle \frac{2}{x} = \mathbf{\frac{1}{3}}[/tex]
Which gives;
2 × 3 = x × 1
6 = x
x = 6
- The number of team members needed to solve 39 problems in 1 hour is x = 6 team members.
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