Question

A water tower that holds 1 134 000 litres of water is full. From 6 a.m. to 9 a.m. water flows out of the tank at 4000 L/min. At the same time, water flows into the tank at 850 L/min.
a. How much water is in the tank at 9 a.m.?
b. If the inflow and outflow of the water remains the same as in part (a), then at what time would the water tower be empty?

Answer 1

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Answer 2

The volume of water in the tank at $9$ a.m. is $567000$ liters and the tank will be empty at $12$ p.m.

Total volume of water tower liters.

Rate of out flow of water L/min.

Rate of in flow of water $= 850$ L/min.

Net outflow Out flow In flow

Net outflow L/min

a) From a.m. to a.m., there are minutes

So, total volume of water flowed out liters

.So, volume of water left in the tank liters.

b) Since it took hours to outflow liters of water.

Volume of water left in the tank liters liters.

So, it would require more hours to empty the tank.

Therefore, the tank will be empty at $12$ p.m.

Learn more about flow rate of water here:

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