Question

Сторож работает 4 дня, а пятый день отдыхает. Потом снова 4 дня работает и один отдыхает и т.д. ПОСЛЕ своего очередного выходного дня сторож вышел на работу в понедельник. Сколько дней придется ждать сторожу,пока его выходной снова выпадет на воскресенье ?

Answer 1

35 дней. Если вышел в понедельник, значит воскресенье был выходной. Рабочие дни + один выходной = 5 дней. 5 дней*7 дней в неделе= 35.

Answer 2

Надо ешо подождать 58 дня

Answer 3

Calculation of the Guard's Work Schedule

The guard works for 4 days and then takes a day off, repeating this pattern. The question asks how many days the guard will have to wait until their day off falls on a Sunday again.

To calculate this, we need to determine the number of days in the guard's work cycle.

According to the given information, the guard works for 4 days and then takes a day off. This means that the guard's work cycle consists of 5 days (4 work days + 1 day off).

Determining the Number of Days to Wait

To determine the number of days the guard will have to wait until their day off falls on a Sunday again, we need to consider the current day and the guard's work cycle.

Given that the guard started working on a Monday, we need to calculate how many days it will take for their day off to fall on a Sunday.

Let's break down the calculation:

- Monday (Day 1): The guard starts working. - Tuesday (Day 2): The guard continues working. - Wednesday (Day 3): The guard continues working. - Thursday (Day 4): The guard continues working. - Friday (Day 5): The guard takes a day off. - Saturday (Day 6): The guard starts working again. - Sunday (Day 7): The guard continues working. - Monday (Day 8): The guard continues working. - Tuesday (Day 9): The guard continues working. - Wednesday (Day 10): The guard takes a day off. - Thursday (Day 11): The guard starts working again. - Friday (Day 12): The guard continues working. - Saturday (Day 13): The guard continues working. - Sunday (Day 14): The guard continues working. - Monday (Day 15): The guard takes a day off.

Based on this pattern, we can see that the guard's day off will fall on a Sunday every 7th day.

Therefore, the guard will have to wait 6 days for their day off to fall on a Sunday again.

Conclusion

The guard will have to wait 6 days until their day off falls on a Sunday again.

Please note that the calculation assumes a consistent work schedule and does not take into account any changes or variations in the guard's work cycle.