paul and peter can build a well individually in minutes and minutes respectively .They start working together unaware of the fact that their enemy jack is breaking the wall at the other end .the wall gets built in minutes in this way .How much time does jack take to break a completely built wall? Related: Shortcuts & Tricks for problems on Time and Work?

Question

paul and peter can build a well individually in  minutes  and minutes respectively .They start working together unaware of the fact that their enemy jack is breaking the wall at the other end .the wall gets built in  minutes in this way .How much time does jack take to break a completely built wall? Related:  Shortcuts & Tricks for problems on Time and Work?

Answer

To find out how much time Jack takes to break a completely built wall, we need to calculate the time it takes for Paul and Peter to build the wall together.

Let's assume that the total time it takes for Paul and Peter to build the wall together is T minutes.

Paul can build a well in 12 minutes, so in one minute, he can complete 1/12 of the well.

Peter can build a well in 18 minutes, so in one minute, he can complete 1/18 of the well.

Working together, in one minute, Paul and Peter can complete 1/12 + 1/18 of the well, which is (3 + 2)/36 = 5/36 of the well.

Since the wall gets built in 10 minutes, we can set up the equation:

(5/36) * T = 10

Multiplying both sides by 36, we get:

5T = 360

Dividing both sides by 5, we find:

T = 72

So, it takes Paul and Peter 72 minutes to build the wall together.

Since Jack is breaking the wall at the other end, it would take the same amount of time for him to break the completely built wall. Therefore, Jack takes 72 minutes to break a completely built wall.

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