Solve Applications with Rational Equations · Example 7

Suppose Pete can paint a room in 10 hours. If he works at a steady pace, in 1 hour he would paint $\frac{1}{10}$ of the room. If Alicia would take 8 hours to paint the same room, then in 1 hour she would paint $\frac{1}{8}$ of the room. How long would it take Pete and Alicia to paint the room if they worked together (and didn’t interfere with each other’s progress)?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Intermediate Algebra 2e · §7.5 Solve Applications with Rational Equations · Example 7