SOLUTION: if prince can paint a house in 4hours and sam can paint the same house in 6hours how long will it take for both of them to paint the same house

Algebra ->  Rate-of-work-word-problems -> SOLUTION: if prince can paint a house in 4hours and sam can paint the same house in 6hours how long will it take for both of them to paint the same house      Log On


   



Question 403133: if prince can paint a house in 4hours and sam can paint the same house in 6hours how long will it take for both of them to paint the same house
Found 2 solutions by mananth, scott8148:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
Prince------------ 6 hours------------- 1/6 of job in 1 hour
Sam-------------4 hours--------------1/4 of the job in 1 hour
..
TOGETHER They do
1/6 + 1/4
= (4+6)/24
10/24 of the job in 1hour
So they will take 24/10 hours = 2.4 hours
OR 2 Hours 24 minutes

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
they each paint a FRACTION of the house based on their individual rates
___ the fractions sum to one (the WHOLE house)

(x / 4) + (x / 6) = 1