Time and Work Problems Quiz
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Questions and Answers

If 15 machines can produce 300 units in 10 hours, how many hours will it take for 20 machines to produce the same number of units?

  • 7.5 hours (correct)
  • 6 hours
  • 8 hours
  • 9 hours

If a task can be completed by 8 workers in 12 days, how many days will it take for 12 workers to complete the same task?

  • 9 days (correct)
  • 6 days
  • 8 days
  • 10 days

If 6 men can complete a piece of work in 16 days, how many extra men are required to complete the work in 8 days?

  • 3 men
  • 4 men (correct)
  • 6 men
  • 5 men

If 10 students can complete a project in 15 days, how many days will it take for 18 students to complete the project?

<p>7 days (B)</p> Signup and view all the answers

If 8 men can complete a piece of work in 20 days, how many days will it take for 16 men to complete the work?

<p>10 days (C)</p> Signup and view all the answers

If 12 machines can produce 100 units in 5 hours, how many units can 18 machines produce in the same time?

<p>200 units (B)</p> Signup and view all the answers

If 20 students can complete a project in 25 days, how many additional students are required to complete the project in 15 days?

<p>8 students (C)</p> Signup and view all the answers

If a task can be completed by 10 workers in 18 days, how many days will it take for 15 workers to complete 2 similar tasks?

<p>27 days (C)</p> Signup and view all the answers

Flashcards

Inverse Proportionality in Work

The number of workers and the time taken to complete a task are inversely proportional. More workers, less time.

Direct Proportionality in Work

If you double the number of workers, you can halve the time needed to complete the same task. More workers, less time.

Direct Proportionality in Production

The number of workers, days, and units produced are related. More workers, more units produced in the same time.

Inverse Proportionality in Task Completion

When the number of workers increases, the number of days needed to complete a similar task decreases proportionally.

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Direct Proportionality in Unit Production

The number of units produced is directly proportional to the number of workers, assuming the time remains consistent.

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Inverse Proportionality in Task Time

The number of workers is inversely proportional to the number of days it takes to complete the same task.

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Inverse Proportionality in Project Completion

The number of workers and the time taken to complete a project are inversely proportional. Doubling the workers halves the time.

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Relationship between Work, Workers, and Time

The amount of work, the number of workers, and the time taken to complete the work are related. More work, more time. More workers, less time.

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