Answer:
It would take 15.3846 minutes to stock the shelf if the two clerks worked together
Step-by-step explanation:
The first grocery clerk can stock a shelf in 40 minutes, it means that he can do 1/40 shelf per minute. At the same way, the second clerk requires 25 minutes, it means that he can do 1/25 shelf per minute
Then, if they worked together, they can stock 13 shelfs in 200 minutes, and it is calculated as:
[tex]\frac{1}{40}+\frac{1}{25} = \frac{13}{200}[/tex]
Now, using the rule of three, we need to find the minutes required to stock 1 shelf if they work at a rate of 13 shelf in 200 minutes as:
13 shelfs -------------- 200 minutes
1 shelf --------------- X minutes
Where X are the minutes required to stock 1 shelf.
So, solving for X, we have:
[tex]X=\frac{1*200}{13}=15.3846[/tex]
Finally, it would take 15.3846 minutes to stock the shelf if the two clerks worked together
