A water tap fills at the rate of 25 litre per minute into a water tank another water tap can fill water in the same tank at the rate of 15 litres per minute if both the water taps are opened then the water tank is filled in 15 minutes find the volume of the water tank
Answer is 600 litre
net fill rate: 40L/min
so figure the volume filled in 15 min.
Let's assume the volume of the water tank is V liters.
Given:
The first tap fills water at a rate of 25 liters per minute.
The second tap fills water at a rate of 15 liters per minute.
Both taps are opened, and the water tank is filled in 15 minutes.
Since the first tap fills water at a rate of 25 liters per minute, the amount of water it fills in 15 minutes is 25 * 15 = 375 liters.
Similarly, the second tap fills water at a rate of 15 liters per minute, so the amount of water it fills in 15 minutes is 15 * 15 = 225 liters.
Now, since the tank is filled by both taps, the total amount of water filled in 15 minutes is 375 + 225 = 600 liters.
Therefore, the volume of the water tank (V) is 600 liters.
To find the volume of the water tank, we need to calculate the total amount of water that flows in during the 15 minutes when both water taps are open.
Let's break down the information given:
First water tap fills at a rate of 25 liters per minute.
Second water tap fills at a rate of 15 liters per minute.
When both taps are open, they fill the tank in 15 minutes.
We can start by finding the combined rate at which both taps fill the tank:
Combined rate = Rate of the first tap + Rate of the second tap
Combined rate = 25 liters/minute + 15 liters/minute = 40 liters/minute
Since the combined rate is given, we can determine the total volume of water that flows into the tank within the 15 minutes:
Total volume = Combined rate * Time
Total volume = 40 liters/minute * 15 minutes
Total volume = 600 liters
Therefore, the volume of the water tank is 600 liters.