Question

A small tank is $\frac{2}{5}$ full of water. The water is then poured into a large empty tank which has a capacity that is twice that of the small tank. What fraction of the large tank is filled with water?

• A. $\frac{3}{5}$
• B. $\frac{2}{5}$
• C. $\frac{1}{5}$
• D. $\frac{4}{5}$

Answer 1

Answer: (C)

$\frac{1}{5}$

Let volume of tank $=V$

Volume of water in tank $=\frac{2V}{5}$

Volume of second tank $=2V$

Fraction of water in second tank $=\frac{\frac{2V}{5}}{2V}=\frac{1}{5}$