Examkin

Question

Difficulty: MediumUnit Rates

An automated packaging system at a military supply center processes 4,5004,500 ration kits in 2.52.5 hours. What is the unit rate of the system in ration kits per minute?

  1. A
    1,800
  2. 30Answer
  3. C
    11,250
  4. D
    18

Answer

30
To find the unit rate in kits per minute, the time must first be converted from hours to minutes. Since there are 6060 minutes in one hour, 2.52.5 hours is equivalent to 150150 minutes (2.5×60=1502.5 \times 60 = 150). Next, divide the total number of ration kits by the total number of minutes: 4,500÷150=304,500 \div 150 = 30. The system processes 3030 ration kits per minute.

Step-by-Step Solution

1
Convert the total time from hours to minutes.
2.5 hours×60 minutes/hour=150 minutes2.5 \text{ hours} \times 60 \text{ minutes/hour} = 150 \text{ minutes}
The question asks for the unit rate in kits per minute, so the given time must be in minutes.
2
Calculate the unit rate by dividing the total number of ration kits by the total time in minutes.
4,500÷150=30 kits per minute4,500 \div 150 = 30 \text{ kits per minute}
Unit rate is defined as the total quantity divided by the total time.

Key Concept

Unit Rates with Time Conversion
Rate this question

Topics

Unit Rates

More questions from this topic