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Question

Difficulty: MediumPercentage Calculations

A pilot logs 120120 flight hours during the first quarter of the year. If this amount represents 40%40\% of their annual flight hour requirement, how many additional flight hours must the pilot complete by the end of the year to exactly meet the requirement?

  1. A
    48
  2. B
    72
  3. 180Answer
  4. D
    300

Answer

The pilot must complete 180 additional flight hours.
The correct answer is found by first determining the total annual requirement. Since 120 hours represents 40% of the total, the total is calculated by dividing 120 by 0.40, which equals 300 hours. The question asks for the additional hours needed, so you must subtract the 120 hours already flown from the 300 total hours, leaving exactly 180 hours.

Step-by-Step Solution

1
Set up an equation to find the total annual flight hour requirement.
0.40×Total=1200.40 \times \text{Total} = 120
The problem states that 120 hours is exactly 40% of the full annual requirement.
2
Solve for the total annual requirement by dividing the completed hours by the decimal percentage.
Total=1200.40=300\text{Total} = \frac{120}{0.40} = 300 hours
Dividing the part by the percentage (as a decimal) yields the whole base amount.
3
Subtract the hours already flown from the total annual requirement to find the remaining hours needed.
300−120=180300 - 120 = 180 hours
The question specifically asks for the 'additional' flight hours required to finish the year.

Key Concept

Reverse Percentage and Successive Subtraction
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Topics

Percentage Calculations

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