Math Problem Statement

Jika 3 pekerja menyelesaikan 1 kanopi dalam 2 hari, maka 12 pekerja menyelesaikan 2 kanopi dalam waktu...

Solution

The problem reads:

Jika 3 pekerja menyelesaikan 1 kanopi dalam 2 hari, maka 12 pekerja menyelesaikan 2 kanopi dalam waktu...

This translates to: "If 3 workers complete 1 canopy in 2 days, how long will 12 workers take to complete 2 canopies?"

To solve this, let's use the concept of work rates:

  1. Work rate for 3 workers:

    • 3 workers complete 1 canopy in 2 days.
    • So, the work rate of 3 workers is 1 canopy2 days\frac{1 \text{ canopy}}{2 \text{ days}}.
    • Therefore, the work rate for 1 worker is 13×1 canopy2 days=1 canopy6 days\frac{1}{3} \times \frac{1 \text{ canopy}}{2 \text{ days}} = \frac{1 \text{ canopy}}{6 \text{ days}}.
  2. Work rate for 12 workers:

    • The work rate for 12 workers is 12 times the work rate of 1 worker.
    • 12×1 canopy6 days=2 canopies1 day12 \times \frac{1 \text{ canopy}}{6 \text{ days}} = \frac{2 \text{ canopies}}{1 \text{ day}}.

So, 12 workers can complete 2 canopies in 1 day.

Thus, the correct answer is A) 1 hari.

Would you like further clarification or details on any step?

Here are 5 related questions you might find useful:

  1. How does the number of workers affect the time taken to complete a task?
  2. If 6 workers were assigned the same task, how long would it take to complete 2 canopies?
  3. What is the formula for calculating the work rate when the number of workers changes?
  4. How would the solution change if 12 workers were assigned to complete 3 canopies?
  5. How does the ratio of workers to time scale in this type of problem?

Tip: Always double-check the proportionality of workers to ensure the calculations remain consistent.

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Math Problem Analysis

Mathematical Concepts

Work rate
Proportionality

Formulas

Work rate = (Number of workers × Number of tasks) / Time
Inverse proportionality: More workers = Less time

Theorems

Work and time are inversely proportional when the number of workers changes

Suitable Grade Level

Grades 6-8