Soru

Zorluk: OrtaUnit Rates

A base quartermaster is evaluating the fuel efficiency of four different portable power generators. Match each generator's fuel consumption data to its correct unit rate in gallons per hour.

  • Generator W: Consumes 1414 gallons of fuel every 44 hours3.53.5 gallons per hour
  • Generator X: Consumes 180180 gallons of fuel every 22 days3.753.75 gallons per hour
  • Generator Y: Consumes 2626 gallons of fuel every 44 hours6.56.5 gallons per hour
  • Generator Z: Consumes 99 gallons of fuel every 240240 minutes2.252.25 gallons per hour

Cevap

Generator W matches with 3.53.5 gallons per hour, Generator X matches with 3.753.75 gallons per hour, Generator Y matches with 6.56.5 gallons per hour, and Generator Z matches with 2.252.25 gallons per hour.
Each generator's fuel consumption is converted to an hourly rate by matching the time period into hours (e.g., 22 days to 4848 hours, 240240 minutes to 44 hours) and then dividing the total gallons consumed by the total hours.

Adım Adım Çözüm

1
Calculate the unit rate for Generator W.
14÷4=3.514 \div 4 = 3.5 gallons per hour.
The rate is already given in hours, so divide the total gallons by the total hours.
2
Calculate the unit rate for Generator X by converting days to hours.
22 days = 4848 hours. 180÷48=3.75180 \div 48 = 3.75 gallons per hour.
The unit rate must be in gallons per hour, so the time must first be converted from days to hours.
3
Calculate the unit rate for Generator Y.
26÷4=6.526 \div 4 = 6.5 gallons per hour.
Divide the total volume of fuel by the given time in hours.
4
Calculate the unit rate for Generator Z by converting minutes to hours.
240240 minutes = 44 hours. 9÷4=2.259 \div 4 = 2.25 gallons per hour.
The unit rate must be in gallons per hour, so the time must first be converted from minutes to hours by dividing by 6060.

Anahtar Kavram

Calculating unit rates by ensuring equivalent units of measure before dividing the quantity by the time.
Bu soruyu puanla

Konular