Sabine and Hercule can assemble a table in 45 minutes. Working alone, it takes Hercule 48 minutes longer than Sabine to put this table together. How long would it take for Sabine to assemble the table by herself?

Question

What formula would I use to solve this?

Answer 1

Don't look for "formulas", reason it out

Sabine's time = t hours
Hercules' time = t+48 minutes
combined time = 45 minutes

so job/t + job/(t+48) = job/45
notice I can divide by "job" and get
1/t + 1/(t+48) = 1/45

multiplying by 45t(t+48) I got
t^2 - 42t - 2160 = 0

solving this I got t = 72

Answer 2

You are really good. Thanks.
I really appreciate the breakdown of the problem.