we are given
sandy can decorate a cake in 3 hr
so,
In 1 hour , sandy can decorate
[tex] =\frac{1}{3} [/tex] part of cake
Eric can decorate the same cake in 5 hr
so,
In 1 hour , sandy can decorate
[tex] =\frac{1}{5} [/tex] part of cake
so, when they work together
In 1 hour , Sandy and Eric decorate
[tex] =\frac{1}{3} +\frac{1}{5} [/tex]
[tex] =\frac{5}{15} +\frac{3}{15} [/tex]
[tex] =\frac{8}{15} [/tex]
so, their hourly rate is
[tex] =\frac{8}{15} [/tex].............Answer
