It takes 2 minutes to get water from a well by a bucket which has a hole.Through the hole, 500 ml is wasted while water is being taken from the well ( capacity of the bucket is 3 liters). A tank is going to be filled by that bucket.The tank also has a hole and 500 ml of water leaks through it for each minute. ( Capacity of the tank is 50 liters ) How long it will take to fill the whole tank by the bucket

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billgkgk billgkgk · Answer 1 · 2021-01-29T15:43:44+01:00

Answer: In about 51 minutes, the tank may be momentarily filled, but until the leak is stopped, the whole tank will never remain filled.

Step-by-step explanation: There may be a way to calculate this using calculus, but I don't know that yet.

Here is my reasoning:

The 3L bucket will never be full, but every 2 minutes there will be 2.5 L that can be dumped into the tank.

The 50L tank would be full after 20 dumps. That's 50/2.5 = 20

20 dumps every 2 minutes will take 40 minutes.

During that 40 minutes, the tank leaks 8L.

8L takes another 3.2 buckets to replace, taking 6.4 minutes.

In 6.4 minutes, the tank leaks .5 × 6.4 L, or 3.2 L

3.2L takes another 1.3 dumps in about 2.6 minutes.

At this point, the last bucket could be filled for the entire 2 minutes, and the additional .7L will be enough to momentarily fill the entire tank.

Adding all the times: 40 + 6.4 + 4 = 50.4