A shipyard damage control team is evaluating four auxiliary water pumps. Match each pump's… — Armed Services Vocational Aptitude Battery (ASVAB)

A shipyard damage control team is evaluating four auxiliary water pumps. Match each pump's performance test results to its calculated unit rate in gallons per minute (GPM).

Pump Alpha: Removes $1,800$ gallons in $12$ minutes $150$ GPM
Pump Bravo: Removes $3,500$ gallons in $25$ minutes $140$ GPM
Pump Charlie: Removes $4,800$ gallons in $30$ minutes $160$ GPM
Pump Delta: Removes $6,800$ gallons in $40$ minutes $170$ GPM

Answer

Pump Alpha matches

150

GPM, Pump Bravo matches

140

GPM, Pump Charlie matches

160

GPM, and Pump Delta matches

170

GPM.

Each pump's unit rate is determined by dividing the total gallons removed by the total number of minutes. This yields the uniform rate in gallons per minute (GPM).

Step-by-Step Solution

Calculate the unit rate for Pump Alpha.

1,800 \div 12 = 150

gallons per minute.

Dividing the total volume by the total time gives the unit rate.

Calculate the unit rate for Pump Bravo.

3,500 \div 25 = 140

gallons per minute.

Dividing the total volume by the total time gives the unit rate.

Calculate the unit rate for Pump Charlie.

4,800 \div 30 = 160

gallons per minute.

Dividing the total volume by the total time gives the unit rate.

Calculate the unit rate for Pump Delta.

6,800 \div 40 = 170

gallons per minute.

Dividing the total volume by the total time gives the unit rate.

Key Concept

Calculating unit rates by dividing a total quantity by the elapsed time to find the amount per single unit of time.

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