Difficulty: Medium
Correct Answer: W = R T + ((S − T)/S) · R · T
Explanation:
Given
R = base rate per hour; S = standard time; T = actual time taken.
Concept (Rowan plan)
Bonus is proportional to the fraction of time saved and the actual time worked:Bonus = (Time saved / Standard time) × (R × T) = ((S − T)/S) × (R T)
Step-by-step
Total wages W = Time wages + BonusW = R T + ((S − T)/S) · R · T(Equivalently, W = R T (2 − T/S))
Why others are wrong
(b) is Halsey (100% share) type, not Rowan.(c) ignores actual time and bonus.(d) simplifies to R S (nonsensical here) and is not the Rowan expression.
Final Answer
W = R T + ((S − T)/S) · R · T.
Discussion & Comments