In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle PQR = (2x+6)^{\circ}m∠PQR=(2x+6) ∘ , \text{m}\angle RPQ = (x-7)^{\circ}m∠RPQ=(x−7) ∘ , and \text{m}\angle QRS = (5x-17)^{\circ}m∠QRS=(5x−17) ∘ . What is the value of x?x?

Randy and trey take turns cleaning offices on the weekends. it takes randy at most 4 hours to clean the offices. it takes trey at most 6 hours to clean the offices. what is the greatest amount of time it would take them to clean the offices together? 2.4 hours 2.5 hours