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A leakage in the bottom of the container can empty the full container in 6 hours. An inlet pipe fills water at the rate of 4 L per minute. When the container is full, the inlet is open and due to the leakage the container is empty in eight hours. What is the capacity of the container?
1. 5760 liters
2. 96 liters
3. 10 liters
4. 24 liters

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Correct Answer - Option 1 : 5760 liters

Given:

A leakage in the bottom of the container can empty the full container in 6 hours

An inlet pipe fills water at the rate of 4 L per minute

Concept:

If a tap can fill a tank in x hours, then the tank filled by the tap in 1 hour = 1/x of the total tank.

Calculation:

Part of container filled by inlet pipe in 1 hour = \(\frac{1}{6} - \frac{1}{8}{\rm{}} = {\rm{}}\frac{{4 \;- \;3}}{{24}}{\rm{}} = {\rm{}}\frac{1}{{24}}\)

If there is no leak, the inlet pipe will fill the container in 24 hours.

Capacity of the container = 24 × 60 × 4 = 5760 liters

The capacity of the container is 5760 liters.

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