SOLUTION: Janet and Carl decorate cakes in a bakery. Janet can decorate a cake every 0.24 hour and Carl can decorate a cake every 0.33 hour. If they work together, at what rate are they dec
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Question 148916: Janet and Carl decorate cakes in a bakery. Janet can decorate a cake every 0.24 hour and Carl can decorate a cake every 0.33 hour. If they work together, at what rate are they decorating cakes? Round to the nearest tenth of a cake per hour.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Janet can decorate a cake every 0.24 hour and Carl can decorate a cake every
0.33 hour. If they work together, at what rate are they decorating cakes?
Round to the nearest tenth of a cake per hour.
:
Let t = time required when they work together
:
Let the completed cake = 1; (the fraction each does, has to add up to 1)
:
+ = 1
:
Multiply the equation by a common denominator; .0792 (.24 * .33); results:
.33t + .24t = .0792
:
.57t = .0792
t =
t = .1389 hr for both to decorate 1 cake
Therefore:
= 7.2 cakes can be decorated in 1 hr
;
:
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