Question : There are two pumps to fill a tank with water. The first pump can fill the empty tank in 8 hours, while the second in 10 hours. If both the pumps are opened at the same time and kept open for 4 hours, the part of the tank that will be filled up is:
Option 1: $\frac{9}{10}$
Option 2: $\frac{1}{10}$
Option 3: $\frac{2}{5}$
Option 4: $\frac{1}{5}$
Correct Answer: $\frac{9}{10}$
Solution :
Given:
The first pump can fill the empty tank in 8 hours, while the second in 10 hours.
So, we have part of the tank filled in an hour by both pump $=\frac{1}{8}+\frac{1}{10}=\frac{9}{40}$
$\therefore$ Part of the tank filled in 4 hours $=\frac{4×9}{40}=\frac{9}{10}$
Hence, the correct answer is $\frac{9}{10}$.
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