A swimming pool 25 m long, 15 m wide, and 150 cm deep is being filled at the rate of 20 L/min. How many hours will be needed to fill the pool?
volume = 25x15x1.5 m^3 = 562.5m^3
There are 1000 L in 1 m^3
So it holds 562000 L
Then number of minutes = 562000/20 min
= 28125 minutes
= 468.75 hours
(Now if they would only make "time" metric.)
That would be nice! :)
To find the time needed to fill the pool, we need to calculate the total volume of the pool and divide it by the rate of filling.
First, let's convert the dimensions of the pool to meters:
- Length: 25 m
- Width: 15 m
- Depth: 150 cm = 1.5 m (since 1 m = 100 cm)
Now we can calculate the volume of the pool in cubic meters:
Volume = Length x Width x Depth
Volume = 25 m x 15 m x 1.5 m
Volume = 562.5 cubic meters
Next, let's convert the rate of filling from liters to cubic meters:
20 L/min = 0.02 cubic meters/min
Now we can calculate the time needed to fill the pool:
Time = Volume / Rate of filling
Time = 562.5 cubic meters / 0.02 cubic meters/min
To cancel out the unit of cubic meters, we can divide both numerator and denominator by 0.02:
Time = (562.5 cubic meters / 0.02 cubic meters/min) / (0.02 cubic meters/min / 0.02 cubic meters/min)
Time = 562.5 / 0.02 min
Calculating the division:
Time = 28125 min
Lastly, let's convert the time from minutes to hours:
Time = 28125 min / 60 min/hour
Time ≈ 468.75 hours
Therefore, it will take approximately 468.75 hours to fill the swimming pool.