Question 148916
 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/.24}}} + {{{t/.33}}} = 1
:
Multiply the equation by a common denominator; .0792 (.24 * .33); results:
.33t + .24t = .0792
:
.57t = .0792
t = {{{.0792/.57}}}
t = .1389 hr for both to decorate 1 cake
Therefore:
{{{1/.1389}}} = 7.2 cakes can be decorated in 1 hr
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