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.

Answer 1

To find out how long it would take Molli to paint a room alone, we first need to calculate the rates at which each person paints.

John's rate = 1 room/8 hours = 1/8 room per hour
Rick's rate = 1 room/6 hours = 1/6 room per hour

Since John, Rick, and Molli together can paint a room in 4 hours, their combined rate is 1/4 room per hour.

Let Molli's rate be M rooms per hour.

John's rate + Rick's rate + Molli's rate = 1/4
1/8 + 1/6 + M = 1/4
Multiplying all terms by 24 to get rid of fractions:
3 + 4 + 24M = 6
24M = -1
M = -1/24

This means that Molli has a negative rate of painting, which doesn't make sense in this context. It seems there is a mistake in the information provided. Please double-check the data given.