Answer:
1.5
Step-by-step explanation:
If you eliminate the parentheses, then add mq, you have
... y - p + mq = mx
Then dividing by m gives you the equation for x:
... x = (y - p + mq)/m
Let us determine each of their rates of work:
Since Tiana can clear the field in 3 hours, meaning she can do 1/3 of the work per hour.
In the same way, Jacob can do 1/2 of the work per hour.
Now, what would be the rate of work if they were working together? Let's look at it like this:
Hours to complete the job:
Tiana = 3
Jacob = 2
Together = t
Work done per hour:
Tiana = 1/3
Jacob = 1/2
Together = 1/t
If you add their labor together:
1/3 + 1/2 = 1/t
5/6 = 1/t
t = 6/2 = 1.2
Together, they can clear the field in 1.2 hours.
