Math problem anyone?! please help me?

Its a story problem.....

A homeowner estimates that it will take 8 days for her to paint her house. A professional painter estimates that he could paint the house in 5 days. How long will it take if they work together?

I got 6.5 but it was wrong... AHHH HELP!

2013-04-29T16:55:54Z

hahahaha Chris, you're right! I'm completely retarded

?2013-04-29T16:42:57Z

Favorite Answer

1 / 8 + 1 / 5 = 1 / x

(1 / 8 + 1 / 5)(40) = (1 / x)(40)

(40 / 8 + 40 / 5) = (40 / x)
(5 + 8) = (40 / x)
(13) = (40 / x)
x = (40 / 13)
x = 3.08 hours

Anonymous2013-04-29T23:44:17Z

The homeowner paints 1/8 of the house in a day and the pro paints 1/5 of the house in a day.
To make them like fractions the homeowner paints 5/40 of the house in a day and the pro 8/40 of a house in a day.
Therefore together in a day they could paint 13/40 of a house in a day.
This makes 3 days of painting by both 39/40 of the house is complete, therefore a little over 3 days to finish the house.
So in 4 days they could complete the house together.

Chris L2013-04-29T23:44:15Z

Why would it take even longer for the professional to paint the house especially with help? You're retarded