Tammy can do a certain job in 6 hours. Kris can do the same job in 8 hours. If Tammy and Kris work together to complete the same job, how many hours will it take for them to complete it?

1/x = 1/8 + 1/6

compute the cost to remove 25% of the air pollutants

To find the time it takes for Tammy and Kris to complete the job together, we can use the concept of rates.

First, let's calculate Tammy's work rate, which is the amount of the job she can complete per hour. Since Tammy can complete the job in 6 hours, her work rate would be 1 job / 6 hours = 1/6 job per hour.

Now, let's calculate Kris's work rate. Since Kris can complete the job in 8 hours, his work rate would be 1 job / 8 hours = 1/8 job per hour.

To find the combined work rate of Tammy and Kris working together, we can add their individual work rates:
Combined work rate = Tammy's work rate + Kris's work rate
Combined work rate = 1/6 + 1/8

To add these fractions, we need a common denominator, which is 24 in this case:
Combined work rate = (4/24) + (3/24)
Combined work rate = 7/24 job per hour

Now, to find the time it takes for them to complete the job together, we can use the formula:
Time = 1 / Combined work rate

Substituting the value of the combined work rate, we get:
Time = 1 / (7/24)
Time = 24/7 hours

Therefore, it will take Tammy and Kris approximately 24/7 hours to complete the job together.