Thomas can do a job in 4 hours. Julia can do the same job in7 hours. How many hours will it take the two of them to do the job it they work together?
1/4 + 1/7 = 1/x
Solve for x, the number of hours.
1/x = 11/28
x = 28/11 = 2 6/11 hours
= 2 hours 33 minutes.
To find out how many hours it will take Thomas and Julia to complete the job together, we need to calculate their combined work rate. The work rate is determined by the amount of work done per unit of time.
Let's start by finding their individual work rates. Thomas can complete the job in 4 hours, so his work rate is 1 job / 4 hours = 1/4 job per hour.
Similarly, Julia can complete the job in 7 hours, so her work rate is 1 job / 7 hours = 1/7 job per hour.
To find their combined work rate, we add their individual work rates together: 1/4 job per hour + 1/7 job per hour = 7/28 job per hour + 4/28 job per hour = 11/28 job per hour.
Now, to find out how many hours it will take for them to complete the job together, we divide the total job (1 job) by their combined work rate (11/28 job per hour):
(1 job) / (11/28 job per hour) = 1 * (28/11) hour/job = 28/11 hour ≈ 2.54 hours.
Therefore, it will take Thomas and Julia approximately 2.54 hours to complete the job together.