Answer:
The answer to your question is 7:30 h
Step-by-step explanation:
Data
Hanna paints in 12 h
Destiny paints in 20 h
Together = ?
Process
1.- Calculate the amount that each girl paints in 1 hour
Hanna will paint 1/12 in 1 hour
Destiny will paint 1/20 in 1 hour
2.- Write an equation to solve this problem
1/12 t + 1/20 t = 1
t = time (h)
1 is when the room is painted 100%.
3.- Solve the equation for t
(5 + 3)t/60 = 1
8t = 60
t = 60/8
t = 7.5 h
4.- Conclusion
They will paint the room together in 7:30 h
Answer:
It will take 7.5 hours
Step-by-step explanation:
Hannah can paint a room in 12 hours. This means that the rate at which she paints per hour is 1/12
Destiny can paint the same room in 20 hours This means that the rate at which Destiny can paint the same room is 1/20
If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be
1/12 + 1/20 = 8/60
Assuming it takes t hours for both of them to paint the room working together, the working rate per hour would be 1/t. Therefore,
8/60 = 1/t
t = 60/8
t = 7.5 hours
