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