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Felix and Oscar own a pastry shop. Working alone Felix can decorate 8 dozen cookies in 90 minutes. Oscar, on
the other hand, needs 120 minutes to decorate 8 dozen cookies. If they work together, how long does it take
them to decorate 16 dozen cookies? Round your answer to the nearest whole minute.
minutes

Sagot :

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Working together, decorating 16 dozens of cookies will take 103 minutes.

Let's calculate theor individual work rate :

  • Rate = 1/ time

Felix's rate = 1/90

Oscar's rate = 1/120

Combined rate = 1/90 + 1/120 = (4 + 3) / 360 = 7/360

Time taken for both of the to decorate 8 dozens :

Reciprocal of their combined rate = 1 ÷ (7/360) = 51.428571 minutes

Hence, the time taken to decorate 16 dozens will be :

(16/8) × 51.428571 = 102.857 = 103 minutes (nearest while number).

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