SOLUTION: if person A can paint a house for 6 hours and person B can paint a house for 4 hours. How many hours they can finish in one day if they will join together painting a house?
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Question 663628: if person A can paint a house for 6 hours and person B can paint a house for 4 hours. How many hours they can finish in one day if they will join together painting a house? Answer by ReadingBoosters(3246) (Show Source):
You can put this solution on YOUR website! Rate(A) = 1/6
Rate(B) = 1/4
Rate(A+B) = 1/6 + 1/4 = 1/x
where x is the hours working together
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Create a common denominator
4/24 + 6/24 = 10/24 = 1/x
The inverse of 1/x is x, so invert the other side of the equation also
x = 24/10 = 12/5 = 2 2/5 hours or 2.4 hours
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Alternatively,
10/24 = 1/x
Multiply both sides by x
x(10/24) = 1
Multiply both sides by 24/10
x = 24/10 = 2.4 hours
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