Hannah can paint a room in 12 hours. Destiny can paint the same room in 20 hours. How long does it take for both Hannah and Destiny to paint the room if they did it together?

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                

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

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1