SOLUTION: If one person takes four hours to paint a house and another person takes 6 hours,how long will it take both of them to paint a house together?

Question 665623: If one person takes four hours to paint a house and another person takes 6 hours,how long will it take both of them to paint a house together?

Found 3 solutions by lynnlo, DrBeeee, Alan3354:
Answer by lynnlo(4176)   (Show Source): You can put this solution on YOUR website!
4hrs.+6hrs.=10hours divided by 2
it should take them together 5 hours
Answer by DrBeeee(684)   (Show Source): You can put this solution on YOUR website!
Without a lot of explanation, I'll give you the answer to this type of problem.
The combined effort two people that take x hrs and y hrs individually, will do the job in h hrs given by
(1) h = 1/(1/x + 1/y)
Applying this to your problem we get
(2) h = 1/(1/4 + 1/6) or
(3) h = 1/(6/24 + 4/24) or
(4) h = 1/(10/24) or
(5) h = 24/10 or
(6) h = 2.4 hrs
Answer: It will take 2hr and 24min for them to paint the house together.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
If one person takes four hours to paint a house and another person takes 6 hours,how long will it take both of them to paint a house together?
=================
I like the 5 hours answer, it's amusing.
It's more "real world" in that one person alone will work, but it you have 2 people, they're likely to occupy each other's time and the job will take longer.
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Use a shortcut for these problems, product/sum
= 4*6/(4+6) = 24/10
= 2.4 hours.

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