Question

Given:

The current amount of fuel in the tank is 12 L. The capacity of fuel tank is L.

• A. 24
• B. 28
• C. 32
• D. 36

Answer 1

The correct option is C 32

Given:
Let the total fuel in the tank be $x$ litres and express others using x.

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

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

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

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

$\Rightarrow x=8\times 4$

$\Rightarrow x=32$

Hence, the capacity of the fuel tank is 32 L.