John Rick and Molly can paint a room working together in five hours alone. Molly can pay Thurman 14 hours if Rick works alone he can pay three and 10 How long it will take to paint the room working alone

Answer 1

To paint the room working alone, we need to find the individual painting rates of each person.

Let's say:
- John's painting rate is J rooms per hour
- Rick's painting rate is R rooms per hour
- Molly's painting rate is M rooms per hour

From the given information, we have the following equations:

1/J + 1/R + 1/M = 1/5 (work done in 5 hours working together)
1/M = 1/14 (Molly can paint the room in 14 hours)
1/R = 1/3 (Rick can paint the room in 3 hours)
1/J = 1/10 (John can paint the room in 10 hours)

Now we can substitute the values of 1/M, 1/R, and 1/J into the first equation:

1/10 + 1/3 + 1/14 = 1/5
(42 + 140 + 30) / 420 = 1/5
212 / 420 = 1/5
0.505 = 0.2

Thus, John can paint the room alone in 10 hours, Rick in 3 hours, and Molly in 14 hours.