Question

Mo, Merv, and Slope Dude paint a room together. Working all together they can paint the room together in 3 hours. Mo can paint the room alone in 9 hours . Merv can paint the room alone in 6 hours. How long does it take Slope Dude to paint the room alone? A. What is the hourly rate for Mo, Merv and Slope Dude when working together? Use room per hours as the unit for your rates. B. What is the hourly rate for Mo? What is the hourly rate for Merv? What is the hourly rate for Slope Dude using x as the number of hours it takes him to paint the room alone? Use room per hours as the unit for your rates. C. Write an equation comparing the group rate to the sum of the individual rates. Use parts (b) and (c) to help you write the equation. D. What is the least common denominator for the equation you found in part (c)? E. Solve the equation and determine how long it will take Slope Dude to paint the room alone.

Answer 1

Let Mo, Merv, and Slope Dude take x,y,z hours, respectively to paint the room. Now we have
1/x + 1/y + 1/z = 1/3
x = 9
y = 6
So z = 18
Now see what you can do with the other questions. Post your work if you get stuck.