Find the time for 2 people working together to complete half of a task if it takes them 8 hours and 10 hours to complete the entire task working individually.
Thank you!!!
so it takes them 4 hours and 5 hours to complete half the task individually,
time=1/(1/4 + 1/5)
time=20/9 hrs
this comes from the rate equation...
rate= task/time
combination rate=task/time1 + task/time2 or the combination rate is the sum of rates.
To find the time it takes for two people to complete half of a task working together, we can use the concept of work rates.
First, let's determine the work rates of each person individually. If one person can complete the task in 8 hours, it means that in one hour, they can complete 1/8th of the task. Similarly, if the other person can complete the task in 10 hours, their work rate would be 1/10th of the task per hour.
Now, let's consider their work rate when they work together. Since they are working together, we can add their work rates. So, their combined work rate is 1/8 + 1/10 = 9/40 of the task per hour.
To find the time it takes for them to complete half the task together, we can set up the equation: (9/40) * T = 1/2, where T represents the time.
Now, we can solve for T:
(9/40) * T = 1/2
Multiply both sides by 40:
9T = 20
Divide both sides by 9:
T ≈ 2.22 hours
So, it takes approximately 2.22 hours for the two people working together to complete half of the task.