# 5. Variant 1

Baron Munchausen's clock broke at 14:00. Now, for the first 30 seconds of each minute, the clock runs twice as fast as usual, and for the second 30 seconds, it runs twice as slow as usual. The baron has an important meeting at 14:40. What time will his clock show at that moment?
Answer: 14:50

Solution. Note that the first half minute of the clock passes in 15 seconds, and the second half minute passes in 1 minute. This means that 1 minute of real time, according to Baron Münchhausen's clock, lasts 1 minute and 15 seconds, or 1.25 minutes. Then 40 minutes $-40 \cdot 1.25=50$ minutes.

## Variant 2

At 15:00, Baron Münchhausen's clock broke. Now, the first 30 seconds of each minute run twice as fast as usual, and the second 30 seconds run twice as slow as usual. The Baron has an important meeting at 15:40. What time will his clock show at that moment?

Answer. 15:50

## Variant 3

At 16:00, Baron Münchhausen's clock broke. Now, the first 30 seconds of each minute run twice as fast as usual, and the second 30 seconds run twice as slow as usual. The Baron has an important meeting at 16:40. What time will his clock show at that moment?

Answer. 16:50

## Variant 4

At 13:00, Baron Münchhausen's clock broke. Now, the first 30 seconds of each minute run twice as fast as usual, and the second 30 seconds run twice as slow as usual. The Baron has an important meeting at 13:40. What time will his clock show at that moment?

Answer. 13:50

## Variant 5

At 11:00, Baron Münchhausen's clock broke. Now, the first 30 seconds of each minute run twice as fast as usual, and the second 30 seconds run twice as slow as usual. The Baron has an important meeting at 11:40. What time will his clock show at that moment?

Answer. 11:50