Jane can paint a house in 2 days, and so can paint half a house in one day.
Similarly, Paul and Mike can paint a fifth and a third of a house respectively in one day.
That means that combined, they can paint 1/2 + 1/5 + 1/3 of a house in one day.
This works out to be 15/30 + 6/30 + 10/30 = 31/30 of a house.
This in turn means that they can paint one house in 30/31 days. (Or just under one.)
If Jane can paint a house in 2 days, Paul can paint the same house in 5 days and Mike can paint the same house in 3 days, how fast can they paint the house all working together?
Thank you.
Beth