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
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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
okay reverse D and A since they said Andrew cleans 4 times as Fast as Denise
okay i see that
LOL sorry im late my computer is lame :O
Dan has under control? :)
Okay now Switching A and D like i should have in the beginning
so in 8 hours
they both cleaned a full house, Andrea did 4/5th of the work and Dennis did 1/5th of the work.
okay so in 8 hours he did 4/5th of the work
so how much longer will it takes to complete 1/5th of the remaining work
if 8 hours take 4/5th
8=2+2+2+2 = 1/5 + 1/5 + 1/5 + 1/5 = 4/5 work
so adding another 2 will give u another 1/5
10=2+2+2+2+2=1/5+1/5+1/5+1/5+1/5=5/5 work = work