Sarah's regular wage at her job is $p$ dollars per hour for the first 8 hours of work in a day plus 1.5 times her regular hourly wage for work in excess of 8 hours that day. On a given day, Sarah worked for 11 hours, and her total earnings for that day were $\mathrm{162.50.}WhatisSara{h}^{\prime }sregularhourlywage?$