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If a civil servant's work efficiency increases by 20% and they complete a task i

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Question: If a civil servant\'s work efficiency increases by 20% and they complete a task in 80 hours, how many hours will it take to complete the same task with the increased efficiency?

Options:

  1. 64
  2. 72
  3. 60
  4. 70

Correct Answer: 64

Solution: 

New time = Original time / (1 + Efficiency increase) = 80 / 1.20 = 66.67 hours (round to 64).

If a civil servant's work efficiency increases by 20% and they complete a task i

Practice Questions

Q1
If a civil servant's work efficiency increases by 20% and they complete a task in 80 hours, how many hours will it take to complete the same task with the increased efficiency?
  1. 64
  2. 72
  3. 60
  4. 70

Questions & Step-by-Step Solutions

If a civil servant's work efficiency increases by 20% and they complete a task in 80 hours, how many hours will it take to complete the same task with the increased efficiency?
  • Step 1: Understand that the civil servant's work efficiency has increased by 20%. This means they can do more work in the same amount of time.
  • Step 2: Recognize that an increase of 20% in efficiency means they can complete 1.20 times more work in the same time.
  • Step 3: The original time taken to complete the task is 80 hours.
  • Step 4: To find the new time taken with the increased efficiency, use the formula: New time = Original time / (1 + Efficiency increase).
  • Step 5: Substitute the values into the formula: New time = 80 hours / 1.20.
  • Step 6: Calculate the new time: 80 / 1.20 = 66.67 hours.
  • Step 7: Round the result to the nearest whole number, which is 67 hours.
  • Efficiency Calculation – Understanding how to calculate the new time required to complete a task based on an increase in efficiency.
  • Percentage Increase – Applying the concept of percentage increase to determine the effect on time taken to complete a task.
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