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It takes Alice 90 minutes to put a futon frame together, and it takes Maya 60 minutes to put the same
type of frame together. If they worked together, how long would it take to put a frame together?

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wegnerkolmp2741o

Answer:

36 minutes

Step-by-step explanation:

The equation to determine the time together is

1/a + 1/b = 1/c  where a and b are the times alone and c is the time together

1/90  + 1/ 60 = 1/c

Multiply each side by 180c to clear the fractions

180c( 1/90  + 1/ 60 = 1/c)

2c + 3c = 180

5c = 180

Divide each side by 5

5c/5 = 180/5

c =36

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