Question

Container A has 400 litre of water, and is being filled at the rate of 8 litres per minute. Container
B has 650 litre of water, and is being filled at the rate of 3 litres per minute. How many minutes
will it take for the containers to have the same amount of water?​

Answer 1

Answer:

the container a will take 3 minutes and the container b will take 8 minutes

Answer 2

It takes 50 minutes for both containers to have the same amount of water

Solution:

Let "x" be the number of minutes

Container A has 400 liter of water, and is being filled at the rate of 8 liters per minute

Therefore,

Amount of water in container A : 400 + 8x ------- eqn 1

Container  B has 650 litre of water, and is being filled at the rate of 3 litres per minute

Therefore,

Amount of water in container B : 650 + 3x ---------- eqn 2

For two containers to have the same amount of water, eqn 1 must be equal to eqn 2

400 + 8x = 650 + 3x

8x - 3x = 650 - 400

5x = 250

Divide both sides by 5

x = 50

Thus, it takes 50 minutes for both containers to have the same amount of water

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