SOLUTION: Simone can assemble a radio in 4 hours, and Sheila can assemble the same model radio in 7 hours. How long would it take them to assemble one radio if they worked together?

Question 331679: Simone can assemble a radio in 4 hours, and Sheila can assemble the same model radio in 7 hours. How long would it take them to assemble one radio if they worked together?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Simone can assemble a radio in 4 hours, and Sheila can assemble the same model radio in 7 hours. How long would it take them to assemble one radio if they worked together?
.
Let x = time it takes for them to work together
then
x(1/4 + 1/7) = 1
multiplying both sides by 28:
x(7 + 4) = 28
11x = 28
x = 28/11
x = 2.55 hours
or
x = 2 hours and 33 minutes
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