Answer: Chuck can paint 65 posts per hour.
Step-by-step explanation:
The data we have here is:
Diana can paint 150 fence posts in a time T
Chuck can pint 130 fence posts in a time T.
In one hour, Diana can paint 10 more fence posts than Chuck.
If D is the hourly rate of Daian, and C is the hourly rate for Chuck, we have:
D = 150/T
C = 130/T
D = C + 10
we can replace the last equation in the first one and geT:
C + 10 =150/T
C = 130/T
Now we can replace the bottom equation in the above one:
130/T + 10 = 150/T
10 = 150/T - 130/T = 20/T
T*10 = 20
T = 20/10 = 2
So T is 2 hours, then whe have:
D = 150post/2hours = 75 posts per hour.
C = 130 posts/2hours = 65 posts per hour.
