SOLUTION: Please help me solve this word problem: It takes ted 11 hours to paint a building. It takes Linda 8 hours to paint the same building which if the following equations could be us

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Question 974295: Please help me solve this word problem:
It takes ted 11 hours to paint a building. It takes Linda 8 hours to paint the same building which if the following equations could be used to determine how many hours it would take them to paint the building if they worked together?

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
t takes ted 11 hours to paint a building. It takes Linda 8 hours to paint the same building which if the following equations could be used to determine how many hours it would take them to paint the building if they worked together?
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let x time it takes Ted and Linda to paint the same building if they worked together
1/11=Ted's work rate
1/8=Linda's work rate
1/x=work rate working together
sum of individual work rates =work rates working together
1%2F11%2B1%2F8=1%2Fx
8%2F88%2B11%2F88=1%2Fx
19/88=1/x
x=88/19≈4.63
How many hours it would take them to paint the building if they worked together? 4.63