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 deco

Algebra ->  Rate-of-work-word-problems -> 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 deco      Log On


   

Question 150560: 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.
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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.
:
Let t = how long it take for them to decorate a cake together;
Let a completed cake = 1
t%2F.24 + t%2F.33 = 1
:
Multiply equation by .24*.33 which is .0792
.33t + .24t = .0792
:
.57t = .0792
t = .0792%2F.57
t = .13895 hr per cake (both working)
;
That's a rate of 1%2F.13895 = 7.2 cakes per hour