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Difficulty: MediumDividing in a Ratio

A flight line supervisor is dividing 480480 hours of scheduled maintenance tasks between two mechanic crews in a ratio of 3:53:5. If the larger share of hours is assigned to the senior crew, how many maintenance hours does the senior crew receive?

  1. A
    160
  2. B
    180
  3. C
    288
  4. 300Answer

Answer

The senior crew receives 300 maintenance hours.
To solve the problem, first find the total number of parts in the ratio: 3+5=83 + 5 = 8 parts. Next, divide the total number of hours by the total parts to find the value of one part: 480÷8=60480 \div 8 = 60 hours. Finally, multiply the value of one part by 55 (the larger share) to find the senior crew's allocation: 60×5=30060 \times 5 = 300 hours.

Step-by-Step Solution

1
Find the total number of parts in the ratio by adding the terms together.
3+5=83 + 5 = 8 total parts.
To distribute a total amount according to a ratio, you must first determine how many equal parts make up the whole.
2
Determine the value of a single part by dividing the total hours by the total number of parts.
480÷8=60480 \div 8 = 60 hours per part.
This establishes the baseline unit value that corresponds to '1' in the ratio.
3
Multiply the value of a single part by the larger number in the ratio to find the senior crew's share.
60×5=30060 \times 5 = 300 hours.
The problem states the senior crew receives the larger share, which corresponds to the '5' in the 3:53:5 ratio.

Key Concept

To divide a total quantity into a given ratio, add the terms to find the total number of parts, divide the total quantity by this sum to find the value of one part, and then multiply by the desired ratio term.
Estimated Time:1m 0s
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Topics

Dividing in a Ratio

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