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

Algebra ->  Customizable Word Problem Solvers  -> Misc -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (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)
:
t%2F.24 + t%2F.33 = 1
:
Multiply the equation by a common denominator; .0792 (.24 * .33); results:
.33t + .24t = .0792
:
.57t = .0792
t = .0792%2F.57
t = .1389 hr for both to decorate 1 cake
Therefore:
1%2F.1389 = 7.2 cakes can be decorated in 1 hr
;
: