How long will it take to empty it if the 3 pumps are working together
If a pump can empty a tank in 16 hrs, another pump can empty the same tank in 8 hrs, and another caempty this tank in 12 hrs. How long will it take to empty it if the 3 pumps are working together on this tank.
How long will it take to empty it if the 3 pumps are working together on this tank.
Analysis:
In this problem, it is not necessary to get or to know the volume of the tank. So you can put any figure of volume of the tank - be it 1,000 or 10,000, the answer is the same.
Solution:
Let us say the volume of the tank is 1000 cubic meter.
We have to get the rate of each tank.
Pump A 1000 m³ ÷ 16 hr = 62.5 m³/hr
Pump B 1000 m³ ÷ 8 hr = 125 m³/hr
PumpC 1000 m³ ÷ 12 hr = 83.33 m³/hr
270.83 m³/hr is the combined rate of 3 pumps
Now we have to divide the volume by the combined rate of 3 pumps.
1000 m³ ÷ 270.83 m³/hr = 3.69 hrs is the time for the 3 pumps to empty the tank.
But if you want to solve this as it should be, I mean by letting X as the volume since it is unknown, so this is it.
Let x be the volume.
Pump A x ÷ 16 = x
16
Pump B x ÷ 8 = x
8
Pump C x ÷ 12 = x
12
x + x + x = 3x + 6x + 4x = 13x
16 8 12 48 48
Now, x ÷ 13x
48
x ÷ 13x
1 48
x x 48 = 48x = 3.69
1 13x 13x
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Tank you sir for answering my question.
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