Question

Given:

The amount of fuel in the tank left now is 12 gallon. The original capacity of the fuel tank is gallon.

• A. 24
• B. 28
• C. 32
• D. 36

Answer 1

The correct option is C 32

Let the total fuel in the tank be x gal and express other values using x.

$\text{Initial fuel after first refilling =}\frac{1}{2}x$
$\text{Fuel consumed while traveling =}\frac{1}{8}x$
$\text{Fuel refilled after traveling =}\frac{1}{4}x$
Fuel present in the tank at the end = 12 gallon

Fuel left in the tank = Fuel refilled - Fuel consumed

$\Rightarrow 12=\frac{1}{2}x+\frac{1}{8}x-\frac{1}{4}x$

$\Rightarrow 12=\frac{1\times 4x+1\times 1x-1\times 2x}{8}$

$\Rightarrow 12=\frac{4x+1x-2x}{8}$

$\Rightarrow \frac{3}{8}x=12$

$\Rightarrow x=8\times 4$

$\Rightarrow x=32$

Hence, the original capacity of the fuel tank is 32 gallons.