Maths Madness

I found this in Gutenberg, a site where all books which has passed its copyright dates are put online for the pleasure of everyone.

If you're a classics fan, go have a look at Gutenberg.

Below is a Maths question. The book was published in 1917 by a Henry Ernest Dudeney. I remembered doing one of this type of questions during tuition class before and it is Olympiad standard - it stumps your mind - but the answer is logical and without many calculations.

-----------------------

THE THREE CLOCKS.

On Friday, April 1, 2007 year was changed due to some very complicated reasons ,three new clocks were all set going precisely at the same time - twelve noon.

At noon on the following day it was found that clock A had kept perfect time, that clock B had gained exactly one minute, and that clock C had lost exactly one minute.

Now, supposing that the clocks B and C had not been regulated, but all three allowed to go on as they had begun, and that they maintained the same rates of progress without stopping, on what date and at what time of day would all three pairs of hands again point at the same moment at twelve o'clock?

-----------------