The total number of hours worked by Ms. Lynette would be <em>(x + 3)</em>, as we know from the statement that she has worked overtime twice this week. One day overtime has already been given which is <em>3</em> so if we assume that she has worked overtime x number of hours, then we can say that the total number of hours would be <em>(x + 3)</em>. The pay rate for overtime is <em>$19.5</em> per hour which should be equal to the total payout amount of overtime hours worked which is <em>$146.25</em>.
Let us put these values in equation to find x, number of hours worked on second day;
$19.5 (x + 3) = $146.25
19.5x + 58.5 = 146.25
19.5x = 146.25 - 58.5
x = 87.75 / 19.5
x = 4.5
Hence, Ms. Lynette has worked overtime <em>4.5</em> hours on the second day.