Seth can build a doghouse in 6 hours. Violet can build a doghouse in 5 hours. How long will it take to build the dog house if they work together?

It will take a total of 2.73 hours if they worked together

Step-by-step explanation:

Here, we are seeking to calculate the joint rate.

Let the amount of work to be done is say x

Seth's rate will be x/6, while violet's rate will be x/5

Their joint rate will be;

x/6 + x/5 = 11x/30

The time it will take them to build the house together will be equal to the amount of work divided by the joint rate.

That will be x divided by 11x/30

= x * 30/11x

= 30/11 hours which is Approximately 2.73 hours