Question

John's car travels $\frac{12}{5}$ miles per gallon. Suppose that the tank is empty and he fueled it $\frac{7}{3}$ gallons, How far can he go?

• A. $\frac{35}{36}$ miles
• B. $\frac{28}{5}$ miles
• C. $\frac{36}{35}$ miles
• D. $\frac{14}{5}$ miles

Answer 1

The correct option is B $\frac{28}{5}$ miles

Distance covered by car using one gallon of fuel $=\frac{12}{5}$ miles
Distance covered by car using $\frac{7}{3}$ gallons of fuel = Distance covered by car using one gallon of fuel $\times \frac{7}{3}$
$=\frac{12}{5}\times \frac{7}{3}$

$=\frac{12\times 7}{5\times 3}$

$=\frac{2\times 2\times 3\times 7}{5\times 3}$ miles

$=\frac{28}{5}$ miles

Hence, John can travel $\frac{28}{5}$ miles using $\frac{7}{3}$ gallons of fuel.