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Answer :
Sure! Let's solve this problem step by step:
(a) If there is 3000 litres in the tank, how long will it take till the tank is empty?
1. Identify the given values:
- The initial amount of water in the tank is 3000 litres.
- The drainage rate is 25 litres per minute.
2. Calculate the time to empty the tank:
- Since water is drained at a rate of 25 litres per minute, the time it takes to empty the tank is calculated by dividing the total amount of water by the drainage rate.
- [tex]\( \text{Time to empty} = \frac{\text{Initial amount of water}}{\text{Drainage rate}} \)[/tex]
3. Perform the calculation:
- [tex]\( \text{Time to empty} = \frac{3000 \, \text{litres}}{25 \, \text{litres per minute}} = 120 \, \text{minutes} \)[/tex]
Answer: It will take 120 minutes to empty the tank.
(b) How much water was in the tank if it could be emptied in 10 minutes?
1. Identify the given values:
- The time to empty the tank is 10 minutes.
- The drainage rate is 25 litres per minute.
2. Calculate the initial amount of water in the tank:
- Multiply the drainage rate by the time it takes to empty the tank.
- [tex]\( \text{Initial amount of water} = \text{Drainage rate} \times \text{Time to empty} \)[/tex]
3. Perform the calculation:
- [tex]\( \text{Initial amount of water} = 25 \, \text{litres per minute} \times 10 \, \text{minutes} = 250 \, \text{litres} \)[/tex]
Answer: The tank initially contained 250 litres of water.
(a) If there is 3000 litres in the tank, how long will it take till the tank is empty?
1. Identify the given values:
- The initial amount of water in the tank is 3000 litres.
- The drainage rate is 25 litres per minute.
2. Calculate the time to empty the tank:
- Since water is drained at a rate of 25 litres per minute, the time it takes to empty the tank is calculated by dividing the total amount of water by the drainage rate.
- [tex]\( \text{Time to empty} = \frac{\text{Initial amount of water}}{\text{Drainage rate}} \)[/tex]
3. Perform the calculation:
- [tex]\( \text{Time to empty} = \frac{3000 \, \text{litres}}{25 \, \text{litres per minute}} = 120 \, \text{minutes} \)[/tex]
Answer: It will take 120 minutes to empty the tank.
(b) How much water was in the tank if it could be emptied in 10 minutes?
1. Identify the given values:
- The time to empty the tank is 10 minutes.
- The drainage rate is 25 litres per minute.
2. Calculate the initial amount of water in the tank:
- Multiply the drainage rate by the time it takes to empty the tank.
- [tex]\( \text{Initial amount of water} = \text{Drainage rate} \times \text{Time to empty} \)[/tex]
3. Perform the calculation:
- [tex]\( \text{Initial amount of water} = 25 \, \text{litres per minute} \times 10 \, \text{minutes} = 250 \, \text{litres} \)[/tex]
Answer: The tank initially contained 250 litres of water.
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