Tomas can do a job in 4 hours. julia can do the same job in 6 hours. how many hours will it take the two of them to do the job if they worked together?
In 24 hours, they can do 10 jobs (numberjobs=24/4 + 24/6)
so it takes 2.4 hours (24/10) hours per job with both of them working.
To find out how long it will take Tomas and Julia to do the job together, we can use the concept of their combined work rate.
Tomas can complete the job in 4 hours, which means his work rate is 1/4 of the job per hour (since 1 job / 4 hours = 1/4 job per hour).
Similarly, Julia can complete the job in 6 hours, which means her work rate is 1/6 of the job per hour (since 1 job / 6 hours = 1/6 job per hour).
To find their combined work rate, we add their individual work rates:
1/4 + 1/6 = 3/12 + 2/12 = 5/12 job per hour.
Therefore, their combined work rate is 5/12 of the job per hour.
To calculate how many hours it will take them to complete the job together, we can invert the combined work rate:
12/5 hours.
So, it will take them 12/5 hours, which is equivalent to 2.4 hours, to complete the job together.
To find out how long it will take Tomas and Julia to do the job together, we can use the concept of work rates.
First, let's calculate the individual work rates for Tomas and Julia.
Tomas can do the job in 4 hours, so his work rate is 1/4 of the job per hour (1 job / 4 hours = 1/4 job/hour).
Julia can do the job in 6 hours, so her work rate is 1/6 of the job per hour (1 job / 6 hours = 1/6 job/hour).
To determine how long it will take them to do the job together, we need to add their work rates.
The combined work rate of Tomas and Julia is:
1/4 job/hour + 1/6 job/hour = 3/12 + 2/12 = 5/12 job/hour.
Now, we can calculate how many hours it will take them to complete the job together by dividing the total work (1 job) by their combined work rate:
1 job / (5/12 job/hour) = 1 job * (12/5 hour/job) = 12/5 hour or 2.4 hours.
Therefore, it will take Tomas and Julia 2.4 hours (or 2 hours and 24 minutes) to complete the job if they work together.