Question

A car can travel a distance of $80\frac{2}{3}$ miles with $2\frac{1}{3}$ gallons of gasoline. If the car has 3.5 gallons of gasoline, what distance will the car cover?

• A. 161 mi
• B. 121 mi
• C. 264 mi
• D. 242 mi

Answer 1

The correct option is B 121 mi

Given,
A distance of $80\frac{2}{3}$ mi can be covered with $80\frac{2}{3}$ gal of gasoline.

So, distance covered with 1 gal of gasoline $=\frac{80\frac{2}{3}}{2\frac{1}{3}}=\frac{\frac{242}{3}}{\frac{7}{3}}=\frac{242}{3}\times \frac{3}{7}=\frac{242}{7}mi$

So, distance covered with 3.5 gal of gasoline $=\frac{242}{7}\times 3.5=121mi$