Derrick started his car, an automatic, and drove 8 miles. He spent 2 minutes idling at a stop light. Dawn started her car, a manual, and drove it 9 miles with no stops. Who used more gas? Use this chart to help you detrmine your answer.
TABLE OF GAS MILEAGE
Automatic Manuatic
Idling 0.16 gal/min 0.16 gal/min
Starting 0.05 gal 0.05 gal
Moving 1 gal/22 miles 1 gal/20 miles
amount of gas used = distance * gal/mil
or time * gal/min
so do the multiplications for each part of the trips, add them up, and compare
To determine which person used more gas, we need to calculate the amount of gas used by each person separately.
For Derrick, we need to calculate the gas used during idling and moving.
1. Gas used during idling:
Since Derrick idled for 2 minutes, we can calculate the gas used during idling as follows:
Gas used during idling = 0.16 gal/min * 2 min = 0.32 gallons
2. Gas used while moving:
Derrick drove 8 miles. According to the chart, his car's gas mileage while moving is 1 gallon every 22 miles.
So, we can calculate the gas used while moving as follows:
Gas used while moving = 8 miles / 22 miles per gallon = 0.36 gallons
Total gas used by Derrick = Gas used during idling + Gas used while moving
= 0.32 gallons + 0.36 gallons
= 0.68 gallons
Now, let's calculate the gas used by Dawn.
Dawn drove 9 miles, and according to the chart, her car's gas mileage while moving is 1 gallon every 20 miles.
So, we can calculate the gas used by Dawn as follows:
Gas used by Dawn = 9 miles / 20 miles per gallon = 0.45 gallons
Comparing the gas used by both Derrick and Dawn, we can see that Derrick used more gas than Dawn. Derrick used 0.68 gallons, while Dawn used only 0.45 gallons.