Answer:
25 minutes
Step-by-step explanation:
We can find the rate by taking the capacity and dividing by the time to fill the tub.
176 liters / 22 minutes
8 liters/ min
To find the time required to fill the tub, take the amount of water and divide by the rate.
200 liters / (8 liters / minute)
25 minutes
The tap adds 8 litres of water to the bathtub per minute. For a 200-litre bathtub, it would take 25 minutes to fill using the same tap, which is 3 minutes longer than filling up a 176-litre tub.
To calculate how much water is added to the tub per minute by the tap, we divide the total capacity of the bathtub by the time it takes to fill it. With a capacity of 176 litres and a fill time of 22 minutes, we perform the following calculation: 176 litres \/ 22 minutes = 8 litres per minute. Therefore, the tap adds 8 litres of water to the tub per minute.
Now, if we have a larger bathtub that has a capacity of 200 litres and we still use the same tap, which adds water at a rate of 8 litres per minute, it will take longer to fill the larger bathtub. To find out the time required, we divide the new capacity by the rate: 200 litres/8 litres per minute = 25 minutes.
So, to fill a 200-litre bathtub, we will need 25 minutes, which is 3 minutes more than the time required to fill the 176-litre bathtub.