Two pools are being filled with water.

Question

The first pool contains 931 liters of water and second pool contains 1300 liters of water. Water is being added to the first pool at a rate of 31.5 liters per minute. And the second pool at a rate of 21.25 liters per minute. After how many minutes will Two pools have the same amount of water. How much water will be in each pool when they have the same amount of water?

Answer 1

This question seems a little tricky. From what I can tell, you are filling the smaller pool more quickly than you are filling the larger pool. In that case, the smaller pool will be full a long time before the larger pool. At that time, the smaller pool will have 931 liters of water in it and it will never have more, since it is full.

At some later point in time, the larger pool will also have 931 liters of water in it. Given the rate of filling is 21.25 liters per minute, all you have to do is figure out how many minutes it takes to arrive at 931 liters in the larger pool at the fill rate of 21.25 liters per minute. I'll leave that to you to figure out.

Answer 2

Let P1 represent pool with 931 liters of water

P2 represent pool with 1300 liters of water

t = time in minutes

Pool 1 has a volume of 931 + 31.5t

Pool 2 has a volume of 1300 + 21.25t

Equating the two expressions, we have 931 + 31.5t = 1300 + 21.25t

Solving for t we see that t = 36 minutes

So, the volume in both pools at 36 minutes = 931 + 31.5(36) = 2,065