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Difficulty: MediumUnit Rates

A medical logistics unit processes 3,6003,600 standard first-aid kits in 4545 minutes. What is the unit rate of processing in kits per hour?

  1. 4,800Answer
  2. B
    80
  3. C
    8,000
  4. D
    480

Answer

The unit rate is 4,800 kits per hour.
To find the hourly unit rate, the processing time must be converted from minutes to hours, or the per-minute rate must be calculated and multiplied by 60. Processing 3,6003,600 kits in 4545 minutes equals 8080 kits per minute. Multiplying by 6060 minutes per hour gives the correct rate of 4,8004,800 kits per hour.

Step-by-Step Solution

1
Convert the processing time from minutes to hours.
45 minutes=4560 hours=0.75 hours45 \text{ minutes} = \frac{45}{60} \text{ hours} = 0.75 \text{ hours}
The question asks for the unit rate in kits per hour, so the time unit must match the requested rate.
2
Divide the total number of kits by the time in hours to find the unit rate.
3,6000.75=4,800 kits per hour\frac{3,600}{0.75} = 4,800 \text{ kits per hour}
A unit rate represents the ratio of the total quantity to the total time.

Key Concept

Calculating unit rates with time conversions
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Topics

Unit Rates

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