Question

Home health aide trades in old car a gas mileage of 18 1/4 miles per gallon.starting with a full tank of gas in her new car she travels 390 7/8 miles it takes 14 3/4 gallons to fuel the tank. How many miles further can she travel on a full tank of gas with the new car if the gas tank hold 30 gallons of gas

Answer 1

The new car travels 247.5 miles more than the old one on 30 gallons of gas.

Explanation:

The fuel consumption of the old car was:

`car_(old) = 18 + (1)/(4) = (73)/(4) \text{ miles per gallon}`

The new one can travel a distance of 390 7/8 miles by using 14 3/4 gallons of fuel, therefore the consumption is:

`car_(new) = (390.875)/(14.75) = 26.5 \text{ miles per gallon}`

If the tank holds 30 gallons, on the old car the distance would be:

`distance_(old) = 18.25*30 = 547.5 \text{ miles}`

On the new one it will be:

`distance_(new) = 26.5*30 = 795 \text{ miles}`

So the new car is able to travel 247.5 miles more than the old one on 30 gallons of gas.