Question

One grocery clerk can stock a shelf in 40 min. A second clerk requires 25 min to stock the same shelf. How long would it take to stock the shelf if the two clerks worked together?

Answer 1

It would take 15.3846 minutes to stock the shelf if the two clerks worked together

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:

`(1)/(40)+(1)/(25) = (13)/(200)`

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:

`X=(1*200)/(13)=15.3846`

Finally, it would take 15.3846 minutes to stock the shelf if the two clerks worked together