A Cistern Filled by a Tap in 3 1/2 Hours
This problem likely involves calculating the rate at which the tap fills the cistern. Here's a breakdown of how to solve it:
Understanding the Problem:
- Cistern: A container used to store water.
- Tap: A device that allows water to flow into the cistern.
- 3 1/2 Hours: The time it takes for the tap to fill the cistern completely.
Solving the Problem:
To calculate the rate of the tap, we need to know the volume of the cistern. Let's assume the cistern has a volume of 'V' liters.
Here's how to calculate the rate:
- Convert the time to a fraction: 3 1/2 hours is equal to 7/2 hours.
- Calculate the rate: Rate = Volume / Time.
- Rate = V / (7/2)
- Rate = 2V/7 liters per hour.
Example:
If the cistern has a volume of 14 liters, the rate of the tap would be:
- Rate = (2 * 14) / 7
- Rate = 4 liters per hour.
Important Note: This solution assumes a constant flow rate from the tap. In reality, the flow rate might vary due to factors like water pressure.
Key Takeaways:
- To calculate the rate of filling a cistern, we need to know both the volume of the cistern and the time taken to fill it.
- The rate is expressed as the volume filled per unit time, usually liters per hour.
