Math Problem Statement

The number of workers on a job and the time to complete the job are in --------- proportion .

Solution

The number of workers on a job and the time to complete the job are in inverse proportion.

This means that as the number of workers increases, the time taken to complete the job decreases, assuming the amount of work remains constant.

Would you like more details or have any questions about this?

Here are 5 related questions to think about:

  1. What happens to the time required if the number of workers is halved?
  2. How does the concept of inverse proportion apply to real-world tasks like construction?
  3. Can you calculate how long it would take with 10 workers if 5 workers take 8 hours to complete a job?
  4. How would the total work output change if the number of workers increases by a factor of 3?
  5. Is there a limit to how many workers can reduce the time on a task?

Tip: In inverse proportion problems, multiplying the number of workers by the time taken to complete the job usually results in a constant value.

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Math Problem Analysis

Mathematical Concepts

Inverse Proportion
Work and Time

Formulas

Number of Workers × Time to Complete = Constant

Theorems

Inverse Proportionality

Suitable Grade Level

Grades 6-8