Matt and Jena, working together, can clean the house in 9 hours. Working alone, Jena takes three times as long as Matt. How long does it take Matt to clean the house.

Answer 1

If Matt takes x hours, then Jena takes 3x

1/x + 1/3x = 1/9

Answer 2

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Answer 3

Matt=x
Jena=y
x+y=9
Jena takes three times as long as Matt
x=y(1/3)
3x=y

x+3x=9
4x=9
x=9/4
Matt=9/4 or 2.25 hours