Task 2:

John, Rick, and Molli paint a room together in 4 hours. John can paint a room alone in 8 hours and Rick can paint a room alone in 6 hours.
1. If John, Rick, and Molli charge $1000 to paint a room, what is their hourly rate?
2. If John charges $950 to paint a room, what is his hourly rate?
3. If Rick charges $900 to paint a room, what is his hourly rate?

1 answer

1. To find their hourly rate, we first need to calculate how long it would take them to paint the room together. Let's denote the time it takes for Molli to paint the room alone as M.

Using the formula: (1/8) + (1/6) + (1/M) = 1/4
Solving this equation, we find M = 12

So, Molli can paint the room alone in 12 hours.

Now, the combined hourly rate of John, Rick, and Molli is $1000 for 4 hours, so their combined hourly rate is $1000/4 = $250 per hour.

2. John can paint a room alone in 8 hours and charges $950, so his hourly rate would be $950/8 = $118.75 per hour.

3. Rick can paint a room alone in 6 hours and charges $900, so his hourly rate would be $900/6 = $150 per hour.
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