Free Practice Question
PS · Problem Solving
655-705
Distance/Rate Problems
In a scenario where two companies, A and B, offer the same base hourly wage, employees at Company A earn 1.5 times the base hourly wage for every hour worked beyond the first 38 hours in a week, while employees at Company B earn 1.5 times the base hourly wage for every hour worked beyond the first 41 hours. If a worker at Company B works 48 hours in a week, how many hours must a worker at Company A work to match their pay?
Answer Choices
Correct answer marked belowA
48
47
Correct
C
46
D
45
E
44
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Explanation
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Official Explanation
Official
The salary for a Company B worker who works 48 hours is calculated as follows: 41*Y + 7*1.5Y = 41Y + 10.5Y = 51.5Y (where Y is the base rate). For a Company A worker working 38 hours, the salary is 38*Y = 38Y. The…
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Sign in to commentWhat this question tests
What it tests
Your application of distance = rate × time to trains, boats, and commuters, including relative speed.
Common trap
Mixing units (miles per hour vs. minutes) or averaging speeds — average speed is total distance over total time.
Details
Difficulty
655-705
Type
PS
Category