Math Problem Statement

Plumber A and Plumber B charge the same amount, at their increased rates, for work completed for two different clients. Calculate the number of hours each plumber has worked. Write your answer in hours and minutes, rounded to the nearest minute.

Solution

To solve this problem, we need more information to fully determine the number of hours each plumber worked. Specifically, we would need details like:

  • Hourly rate for each plumber (or a relationship between their rates, if they are different).
  • Total amount charged to the two clients.
  • Additional variables (if applicable) such as if one plumber works at a higher rate but fewer hours, etc.

Please provide these details so I can help you calculate the number of hours each plumber has worked.

Here are some questions to clarify:

  1. What are the hourly rates for Plumber A and Plumber B?
  2. How much did each plumber charge their respective clients?
  3. Is there a difference in rates between the two plumbers?
  4. Do we know if they worked the same amount of time, or only that they charged the same?
  5. Are there any extra fees or charges that could influence the total cost?

Tip: For word problems like this, identifying and isolating the key variables is crucial for forming equations and solving them correctly!

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Math Problem Analysis

Mathematical Concepts

Algebra
Rates and Proportions
Linear Equations

Formulas

Cost = Rate × Time

Theorems

Proportionality Theorem

Suitable Grade Level

Grades 7-10