If it takes Mary 45 minutes to basic cleaning of her house, and it takes her daughter 65 minutes to do the same basic cleaning, then how many minutes will it take for them to clean together?

Can I please get help with ho to set the equation up?

T = t1*t2/(t1+t2) = 45*65/(45+65) =

To set up the equation, we can let "x" represent the number of minutes it takes for Mary and her daughter to clean the house together.

Now, we know that Mary takes 45 minutes to clean the house, so her cleaning rate would be 1/45 of the house per minute. Similarly, her daughter takes 65 minutes to clean, so her cleaning rate would be 1/65 of the house per minute.

When they clean together, their cleaning rates are additive, so the equation becomes:

1/45 + 1/65 = 1/x

By finding a common denominator for 45 and 65, we can simplify the equation and solve for x:

(65 + 45) / (45 * 65) = 1/x

110 / 2925 = 1/x

To solve for x, we can cross-multiply:

110x = 2925

Divide both sides by 110:

x = 2925 / 110

Simplifying, x ≈ 26.59

Therefore, it will take Mary and her daughter approximately 26.59 minutes to clean the house together.