1. To find their hourly rate, we first need to determine how much each of them contributes to painting the room in 1 hour.
John's rate = 1/8 room per hour
Rick's rate = 1/6 room per hour
Molli's rate = 1/x room per hour
Combined rate = 1/8 + 1/6 + 1/x
Given that they can paint the room together in 4 hours:
1/4 = 1/8 + 1/6 + 1/x
1/4 = 3/24 + 4/24 + 1/x
1/4 = 7/24 + 1/x
1/x = 1/4 - 7/24
1/x = 6/24 - 7/24
1/x = -1/24
x = -24 (ignore the negative as it is referring to the rate of Molli)
Now, let's find the hourly rate for each of them:
John's rate = 1/8 = 0.125 room per hour
Rick's rate = 1/6 ≈ 0.167 room per hour
Molli's rate = 1/-24 = -0.042 room per hour
Since we will be considering positive values only:
John's hourly rate = $1000 * 0.125 = $125
Rick's hourly rate = $1000 * 0.167 ≈ $167
Molli's hourly rate = $1000 * 0.042 ≈ $42
2. If John charges $950 to paint a room, his hourly rate would be:
Hourly rate = $950 / 8 hours = $118.75 per hour
3. If Rick charges $900 to paint a room, his hourly rate would be:
Hourly rate = $900 / 6 hours = $150 per hour
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