SOLUTION: Ting can mow a lawn in 4 hours. Her boss, Renald, can mow the lawn in 3 hours. How long will il take them to mow the lawn if they work together?

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Question 295940: Ting can mow a lawn in 4 hours. Her boss, Renald, can mow the lawn in 3 hours. How long will il take them to mow the lawn if they work together?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Ting can mow a lawn in 4 hours. Her boss, Renald, can mow the lawn in 3 hours. How long will il take them to mow the lawn if they work together?
.
Ting rate: 1 lawn per 4 hours
Renald rate: 1 lawn per 3 hours
.
then
Let t = hours it takes for both
t(1/4 + 1/3) = 1
multiplying both sides 12:
t(3 + 4) = 12
t(7) = 12
t = 12/7
t = 1.71 hours