Measurement Conversion

Question

A new energy efficient automobile can travel 34.4 miles on one gallon of gas.  At this rate, how many feet per quart does the car average?

Answer 1

Hi Conny;

34.4 miles/gallon

There are 4 quarts/gallon.

[(34.4 miles)/(1 gallon)][(1 gallon)/(4 quarts)]

Let's cancel units...

Gallon is a denominator and numerator...

[(34.4 miles)/(1 gallon)][(1 gallon)/(4 quarts)]

(34.4 miles)/(4 quarts)

8.6 miles/quart

There are 5,280 feet/mile.

[(8.6 miles)/(1 quart)][(5280 feet)/(1 mile)]

Let's cancel miles...

[(8.6 miles)/(1 quart)][(5280 feet)/(1 mile)]

[(8.6)/(1 quart)](5280 feet)

45408 feet/quart