Hannah can paint a room in 8 hours. Destiny can paint the same room in 10 hours. How long does it take for both
Hannah and Destiny to paint the room it they are working together.

it will take both of the 4.44 hours.

Step-by-step explanation:

Hannah can paint a room in 8 hours. This means that the rate at which she paints the room per hour is 1/8

Destiny can paint the same room in 10 hours. This means that the rate at which Destiny paints the room per hour is 1/10

If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be

1/8 + 1/10 = 9/40

Assuming it takes t hours for both of them to paint the room working together, their working rate per hour would be 1/t. Therefore,

9/40 = 1/t

t = 40/9 = 4.44 hours

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step-by-step explanation: