Answer:
The answer to your question is 22.2 hours
Step-by-step explanation:
Data
Quentin 40 hr to paint a turret
Austin 50 hr to paint a turret
Use proportions to solve this problem
Quentin 1 turret ---------------- 40 hr Austin 1 turret --------------- 50 hr
x ---------------- 1 hr x ---------------- 1 hr
x = 0.025 turret x = 0.02 turret
Then
- In 1 hour they paint 0.025 + 0.02 = 0.045 of the turret
- In 10 hours they paint (10 x 0.025 + 10 x 0.02) = 0.25 + .2 = 0.45
- In 20 hours they paint (20 x 0.025 + 20 x 0.02) = 0.5 + 0.4 = 0.9
- In 22 hours they paint (22 x 0.025 + 22 x 0.02) = 0.55 + 0.44 = 0.99
- In 22.2 hours they paint (22.2 x 0.025 + 22.2 x 0.02) = 0.555 + .0.444 =
0.999
They paint the turret together in 22.2 hours
