Ariel can complete a paint job in 8 hours. James takes 12 hours to do the same job. If they work together, how long will the job take?

1 answer

To find out how long it will take for Ariel and James to complete the job together, we can use the formula:

1/total time = 1/Ariel's time + 1/James's time

1/total time = 1/8 + 1/12
1/total time = 3/24 + 2/24
1/total time = 5/24

Now, we can find the total time by dividing 1 by 5/24:

total time = 1 / (5/24)
total time = 24/5
total time = 4.8 hours

Therefore, it will take Ariel and James 4.8 hours to complete the paint job together.