SOLUTION: Nicole can paint a room in six hours, Alexandra can paint a room in 5 hours, and Liana can paint a room in 4 hours. If all three work together, how long will it take them to paint

Question 535406: Nicole can paint a room in six hours, Alexandra can paint a room in 5 hours, and Liana can paint a room in 4 hours. If all three work together, how long will it take them to paint the room?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of painting
( 1 room / 6 hrs ) + ( 1 room / 5 hrs ) + ( 1 room / 4 hrs ) = 1 room / x hrs

Multiply both sides by

hrs

It will take them 1 hr and 37 min
check:

OK

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