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Difficulty: MediumUnit Rates

A mobile water purification system can process 5,4005,400 gallons of water in 1.51.5 hours. What is the unit rate of water processed, in gallons per minute?

  1. A
    36
  2. 60Answer
  3. C
    600
  4. D
    3,600

Answer

The correct unit rate is 60 gallons per minute.
The correct answer is found by first converting 1.51.5 hours to minutes (1.5×60=901.5 \times 60 = 90 minutes). Then, divide the total gallons by the total minutes to find the rate: 5,400÷90=605,400 \div 90 = 60 gallons per minute.

Step-by-Step Solution

1
Convert the given time from hours to minutes.
1.5 hours×60 minutes/hour=90 minutes1.5 \text{ hours} \times 60 \text{ minutes/hour} = 90 \text{ minutes}.
The question specifically asks for the unit rate in gallons per minute, so the time measurement must match.
2
Divide the total amount of water by the total number of minutes to find the unit rate.
5,400 gallons÷90 minutes=60 gallons per minute5,400 \text{ gallons} \div 90 \text{ minutes} = 60 \text{ gallons per minute}.
A unit rate represents the quantity of one variable for every single unit of another variable.

Key Concept

Calculating unit rates involving time conversions
Estimated Time:1m 0s
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Topics

Unit Rates

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