SOLUTION: shakira can plant a tray of flowers in 16 minutes. Justin bieber can plant a tray in 36 minutes. How long will it take bot of them to plant one tray if they are working together?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: shakira can plant a tray of flowers in 16 minutes. Justin bieber can plant a tray in 36 minutes. How long will it take bot of them to plant one tray if they are working together?      Log On

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Question 889032: shakira can plant a tray of flowers in 16 minutes. Justin bieber can plant a tray in 36 minutes. How long will it take bot of them to plant one tray if they are working together?
Answer by jim_thompson5910(35256) About Me  (Show Source):
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shakira can plant a tray of flowers in 16 minutes. Justin bieber can plant a tray in 36 minutes. How long will it take bot of them to plant one tray if they are working together?

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1/16 + 1/36 = 1/x

LCD is 16*36*x = 576x. Multiply everything by the LCD to clear out the fractions

1/16 + 1/36 = 1/x

576x*1/16 + 576x*1/36 = 576x*1/x

36x + 16x = 576

52x = 576

x = 576/52

x = 11.076923076923 (this is approximate)


It will take roughly 11.076923076923 minutes if they worked together