Question

Difficulty: MediumUnit Rates

A refueling tanker transfers 450450 gallons of aviation fuel into an aircraft in 1515 minutes. What is the tanker's transfer rate in gallons per hour?

  1. 1,8001,800Answer
  2. B
    3,0003,000
  3. C
    112.5112.5
  4. D
    3030

Answer

The correct answer is 1,8001,800.
The correct transfer rate is found by determining how much fuel is pumped in one minute, which is 450÷15=30450 \div 15 = 30 gallons per minute. Since there are 6060 minutes in an hour, multiply this rate by 6060 to get 1,8001,800 gallons per hour.

Step-by-Step Solution

1
Find the unit rate in gallons per minute.
450÷15=30450 \div 15 = 30 gallons per minute.
This establishes the base rate of fuel transfer before scaling up to an hourly rate.
2
Convert the per-minute rate to a per-hour rate.
30×60=1,80030 \times 60 = 1,800 gallons per hour.
There are 60 minutes in an hour, so the minute rate must be multiplied by 60 to find the hourly rate.

Key Concept

Calculating unit rates and applying time conversions.
Estimated Time:1m 0s
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