SOLUTION: jeff cleans a swimming pool in 6 hours. tara and jeff clean the pool in 2 hours working together. how long does it take tara to clean the pool?

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Question 953963: jeff cleans a swimming pool in 6 hours. tara and jeff clean the pool in 2 hours working together. how long does it take tara to clean the pool?
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
J= 1/6 (1 pool in 6hrs, in 1hr 1/6 of the pool, in 2hrs 2/6... in 6hrs 6/6)
J+T= 1/2 And we just said that J= 1/6, so let's substitute:
1/6+T = 1/2 Multiply both sides x 6 to get rid of the fractions:
6(1/6+T) = 6(1/2)Multiply and you get:
6T = 3 Divide both sides by 6:
T = 3/6 Both numbers are divisible by 3, simplify:
T = 1/2 It takes Tara 1/2 hour to clean the pool by herself.

Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!

jeff cleans a swimming pool in 6 hours. tara and jeff clean the pool in 2 hours working together. how long does it take tara to clean the pool?
Time Tara takes, alone:  hours 

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