Hannah can paint a room in 20 hours. destiny can paint the same room in 16 hours. how long does it take for both hannah and destiny to paint the room it they are working together.

Amount of room hannah can paint in an hour = 1/20
amount of room destiny can paint in an hour = 1/16
number of hours = x

1/20x + 1/16x = 1
the reason why this formula is true is, the amount of the room painted in the end should be 1 (the whole room)

4/80x + 5/80x = 1
9/80x = 1
9x = 80
x = 80/9 hours
x = 8.89 hours

Step-by-step explanation:

The small number above the 2 is called an exponent, and we use exponents to shorten a number so it's not so large. So here, the 6 is an exponent, and when we have a problem like this where we have to figure out something like 2^6, as shown above, we grab the base number, which in this case is 2, and we multiply it by itself 6 times, since 6 is the exponent. So basically you have to multiply the base number (2) by itself the same number of times as whatever the exponent is. So we have 2 × 2 × 2 × 2 × 2 ×2, and when you multiply all of this, you get 64. So the module has 64 pages.