elaine in gigi fish cleaning in the house in 2 hours if takes elaine working alone 3 hours longer than it takes gg working alone how many hours will it girl finish the working alone
Answers
Given : elaine and girl finish cleaning in the house in 2 hours
it takes elaine working alone 3 hours longer than it takes girl working alone
To Find : how many hours will it girl finish the working alone
Solution:
Elaine and girl Clean the house together in 2 hours
Work done together in 1 hr = 1/2
Girl alone finish work in t hrs
elaine alone finish work alone in t + 3 hrs
Girl 1 hr work = 1/t
Elaine 1 hr work = 1//(t + 3)
Both together work in 1 hr = 1/t + 1/(t + 3)
1/t + 1/(t + 3) = 1/2
=> 2(t + 3 + t ) = t(t + 3)
=> 4t + 6 = t² + 3t
=> t² - t - 6 = 0
=> t² - 3t + 2t - 6 = 0
=> t (t - 3) + 2(t - 3) = 0
=> (t - 3) ( t + 2) = 0
=> t = 3 , - 2
-ve time not possible
Hence t = 3
Girl alone finish work in 3 hrs
Elaine alone finish work in 6 hrs
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