Math Problem Statement

How long does it take to produce one engine part if 20 can be produced in x hours

Solution

To find how long it takes to produce one engine part if 20 can be produced in xx hours, we can divide the total time by the number of parts.

The time to produce one engine part is:

Time per part=x20 hours\text{Time per part} = \frac{x}{20} \text{ hours}

Thus, the time it takes to produce one engine part is x20\frac{x}{20} hours.

Would you like further details or have any questions?

Here are 5 related questions to deepen understanding:

  1. How long would it take to produce 50 engine parts at the same rate?
  2. If it takes 3 hours to produce 20 engine parts, how long does it take to produce 1?
  3. What if 30 parts are produced in xx hours? How long for one part?
  4. How would the formula change if you needed to account for machine downtime?
  5. How long would it take to produce 100 parts, assuming the same rate?

Tip: For questions involving rates, dividing the total quantity by the time or vice versa gives the rate per unit.

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Math Problem Analysis

Mathematical Concepts

Rate
Division
Proportional Reasoning

Formulas

Time per part = x / 20

Theorems

Rate-Time Relationship

Suitable Grade Level

Grades 6-8