Question

Gina and Maggie working together can do their MI-4 project in 24 hours. If Gina works alone
for 8 hours and Maggie then finishes the job in 30 hours, how many hours would it take each
working alone to do the project? [Assume both work at a constant rate].

Answer 1

suppose that 8 of Maggie's hours coincided with Gina's 8 hours

that would complete 1/3 (8/24) of the project

Maggie then finishes the remaining 2/3 in 22 hours (30 - 8)

so Maggie would take 33 hours alone
... she does 24/33 or 8/11 working 24 hours with Gina

Gina does 3/11 (1 - 8/11) in 24 hours
... so it would take her 88 hours to do it alone (24 / (3/11))