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Difficulty: MediumUnit Rates

A supply depot crew loads 1,3501,350 cargo crates onto transport aircraft in 4.54.5 hours. Assuming a constant work pace, how many crates does the crew load per minute?

  1. A
    3
  2. B
    50
  3. C
    300
  4. 5Answer

Answer

5
The correct unit rate is found by first converting 4.54.5 hours to minutes. Since there are 6060 minutes in an hour, 4.5×60=2704.5 \times 60 = 270 minutes. Then, dividing the total quantity of 1,3501,350 crates by the total time of 270270 minutes yields exactly 55 crates per minute.

Step-by-Step Solution

1
Convert the total time from hours to minutes.
4.5 hours×60 minutes/hour=270 minutes4.5 \text{ hours} \times 60 \text{ minutes/hour} = 270 \text{ minutes}
The question specifically asks for the unit rate in crates per minute, so the time must be in minutes.
2
Divide the total number of crates by the total time in minutes.
1,350 crates÷270 minutes=5 crates per minute1,350 \text{ crates} \div 270 \text{ minutes} = 5 \text{ crates per minute}
The unit rate is found by dividing the total quantity by the total time.

Key Concept

Calculating unit rates requiring a preceding time unit conversion.
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Topics

Unit Rates

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