Swimming pool with a volume of 6.000l. filled with water in 5 hours.
Swimming pool with a volume of 6.000l. filled with water in 5 hours. How long can it take to fill a pool with a volume of 3.600 liters. if you fill it with the same speed?
Data: Vb1 – volume of the first pool (Vb1 = 6000 l); tb1 – duration of filling the first pool with water (tb1 = 5 hours); Vb2 – volume of the second pool (Vb2 = 3600 l).
Method 1) Actions.
The rate of filling these pools with water: P = Vb1 / tb1 = 6000/5 = 1200 l / h.
Duration of filling the second pool with water: tb2 = Vb2 / P = 3600/1200 = 3 hours.
Method 2) Proportion.
Since the rate of filling the indicated pools with water is constant, the equality is true: Vb1 / tb1 = P = Vb2 / tb2, from where we express: tb2 = Vb2 * tb1 / Vb1 = 3600 * 5/6000 = 3 hours.
Answer: The second pool must be filled with water in 3 hours.