Question

Andrea can clean a house 4 times as fast as Denise. When they work together, Andrea and Denise can clean a large house in 8 hours. How many hours would it take Denise to clean the house by herself? Answer choices : 20, 15, 10 , 5

Answer 1

@malcolmmcswain

Answer 2

u know he knows this haleigh ;) XD

Answer 3

@dan815

Answer 4

@dan815

Answer 5

Let x = Denise's time if do by herself
4x = Andrea's time if do by herself

the time when they work together can be written as
\[(4x * x)/(4x + x) = 8\]

\[4x^2/5x = 8\]
\[4x/5 = 8\]
\[4x = 5 * 8\]
\[4x = 40\]
\[x = 10\]

so, Denise's time id work by herself is 10 hours

Answer 6

thank youu