jmc

Question

On Tuesday, I worked t+1 hours and earned 3t-3 dollars per hour. My friend Andrew worked 3t-5 hours but only earned t+2 dollars an hour. At the end of the day, I had earned two dollars more than he had. What is the value of t?

Accepted Answer

Since I earned two dollars more than Andrew, we know that (t+1) (3t-3) = (3t-5)(t+2) + 2 3t^2-3 = 3t^2 + t -8 .Simplifying gives t = 5.