John, rick, and molli paint a room together.

a. pick a reasonable amount of time in which the three friends can paint the room together. also pick a reasonable amount of time in which john can paint the room alone and a reasonable amount of time in which rick can paint the room alone.
3 friends = 2 hours, john = 6 hours, rick = 8 hours

b. what is the hourly rate for john, rick, and molli (when working together)? use rooms per hour as the unit for your rates.

c. what is the hourly rate for john? what is the hourly rate for rick? refer to the amount of time you determined in which john and rick can paint the room alone. use rooms per hour as the unit for your rates.

d. write an equation comparing the group rate to the sum of the individual rates. how should the group rate and the sum of the individual parts compare? use parts (b) and (c) to you write the equation.

e. what is the least common denominator for the equation you found in part (c)?

f. solve the equation and determine how long it will take molli to paint the room alone.