Question

Difficulty: MediumUnit Rates

An operations chief needs to verify the hourly fuel consumption for a deployed mechanized unit. Match each asset's usage report to its calculated unit rate in gallons per hour.

  • A combat engineer vehicle consumes 350350 gallons over 1414 hours of clearing operations.2525 gallons per hour
  • A utility helicopter burns 120120 gallons of aviation fuel during a 9090-minute flight.8080 gallons per hour
  • A tactical field generator uses 4545 gallons during a 33-hour continuous run.1515 gallons per hour
  • A cargo transport truck requires 144144 gallons to complete a 1212-hour convoy mission.1212 gallons per hour

Answer

Combat engineer vehicle matches to 25 gallons per hour; Utility helicopter matches to 80 gallons per hour; Tactical field generator matches to 15 gallons per hour; Cargo transport truck matches to 12 gallons per hour.
Each asset's fuel consumption rate is found by setting up a ratio of total gallons used to total hours operated, and then dividing to find the amount for exactly one hour. Any time given in minutes must be converted to hours to match the requested unit of 'gallons per hour'.

Step-by-Step Solution

1
Calculate the unit rate for the combat engineer vehicle.
350÷14=25350 \div 14 = 25 gallons per hour.
Unit rate is found by dividing the total quantity (gallons) by the total time (hours).
2
Calculate the unit rate for the utility helicopter.
9090 minutes is 1.51.5 hours. 120÷1.5=80120 \div 1.5 = 80 gallons per hour.
The rate requested is in gallons per hour, so minutes must first be converted to hours before dividing.
3
Calculate the unit rate for the tactical field generator.
45÷3=1545 \div 3 = 15 gallons per hour.
Unit rate is found by dividing the total quantity (gallons) by the total time (hours).
4
Calculate the unit rate for the cargo transport truck.
144÷12=12144 \div 12 = 12 gallons per hour.
Unit rate is found by dividing the total quantity (gallons) by the total time (hours).

Key Concept

Calculating unit rates by dividing a total quantity by a total elapsed time, ensuring units align correctly.
Rate this question