Patrice, by himself, can paint 4 rooms in 10 hours. If he hires April to help, they can do the same job together in 6 hours. If he lets April work alone, how long will it take her to paint the room?

Let x = length of time it will take April to paint the room alone.

Patrice = 1/10

April = 1/x

Together = 1/6

(1/10) + (1/x) = (1/6)

Correct?