ACT Math · Ratios, rates, and percents

An employee earns $18 per hour for the first 40 hours worked in a week, and 1.5 times that rate for each hour beyond 40. What is the…

An employee earns $18 per hour for the first 40 hours worked in a week, and 1.5 times that rate for each hour beyond 40. What is the employee's total pay for a 46-hour work week?

Answer and explanation

Answer: H: $882

Pay is computed in two parts. The first 4040 hours earn 40⋅18=72040\cdot18=720 dollars. The overtime rate is 1.5⋅18=271.5\cdot18=27 dollars per hour, and there are 46−40=646-40=6 overtime hours, so overtime pay is 6⋅27=1626\cdot27=162. The total is 720+162=882720+162=882 dollars, choice H. Choice F ($720) omits the overtime. Choice G ($828) pays all 4646 hours at the regular rate, 46⋅1846\cdot18. Choice J ($972) pays more than the rule allows. The overtime rate applies only to the hours beyond 4040, not to the whole week.

More Ratios, rates, and percents questions

All Ratios, rates, and percents questions

Learn the method behind questions like this one

The ACT Math course teaches each tested skill through lessons, step-by-step solutions to sample problems, the complete study guide and full-length practice tests.