Question

last year, one model of a gasoline powered car had a gas tank that holds 22 gallons of gas. this year, the carmaker is going to increase the capacity of the gas tank by 15%. The car's mileage both last year and this year, is 23 miles per gallon. Will this years model be able to travel 100 miles farther on a single tank of gas? explain.

Answer 1

This year model is able to travel $75.9$ miles farther on a single tank of gas.

Therefore, the statement is false.

Volume of tank $= 22$ gallons.

Mileage per gallon $= 23$ miles  

Total distance covered in full tank before $= 22 \times 23 = 506$ miles.

Increase in the volume $= 15$%.

New volume $= 115$% of $22$

$= \frac{115}{100} \times 22$

$= 25.3$ gallons

Total distance covered in full tank now $= 25.3 \times 23 = 581.9$ miles.

Increase in distance $= 581.9-506=75.9$ miles.

So, this year model is able to travel $75.9$ miles farther on a single tank of gas.

Therefore, the statement is false.

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