If 3 workers build a wall in 6 hours, how long for 6 workers (same rate)?

Mathematics

ScanSolve AI Answer

Answer

6 workers will build the wall in 3 hours.

Step-by-step solution

3 steps

Steps:

  1. Understand the relationship

    The number of workers and the time taken to complete a task are inversely proportional. This means if you increase the number of workers, the time taken decreases proportionally.

  2. Calculate the total "worker-hours" for the task

    Total worker-hours = Number of workers × Time taken
    Total worker-hours = 3 workers × 6 hours = 18 worker-hours

  3. Calculate the time for the new number of workers

    Time = Total worker-hours / New number of workers
    Time = 18 worker-hours / 6 workers = 3 hours

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