1971 AHSME Problem 34

An ordinary clock in a factory is running slow so that the minute hand passes the hour hand at the usual dial position(12 o'clock, etc.) but only every 69 minutes. At time and one-half for overtime, the extra pay to which a \$4.00 per hour worker should be entitled after working a normal 8 hour day by that slow running clock, is

\textbf{(A) }\$2.30\qquad \textbf{(B) }\$2.60\qquad \textbf{(C) }\$2.80\qquad \textbf{(D) }\$3.00\qquad \textbf{(E) }\$3.30

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.