Question

Вдоль дороги от пункта А поставлены столбы через каждые 45 м эти столбы решили заменить другими поставив их на расстоянии 60 м друг от друга Найдите расстояние от пункта А до ближайшего столба который будет стоять на месте старого кроме столба в точке А

Answer 1

Если столбы стоят на расстоянии 45 м друг от друга, то количество метров будет делиться на 45. Если столбы стоят на расстоянии 60 м друг от друга, кол-во метров будет делиться на 60. В общем, надо найти наименьшее число, которое делится и на 45, и на 60. Ответ: 180 метров.

Answer 2

Problem Analysis

We are given that there are poles placed along a road at intervals of 45 meters. These poles are going to be replaced with new poles placed at intervals of 60 meters. We need to find the distance from point A to the nearest pole that will remain in place, excluding the pole at point A.

Solution

To solve this problem, we can break it down into steps:

1. Calculate the number of poles between point A and the first pole that will remain in place. 2. Calculate the distance from point A to the first pole that will remain in place.

Let's calculate these values step by step.

Step 1: Calculate the number of poles between point A and the first pole that will remain in place

To find the number of poles, we need to calculate the difference between the distances of the two pole placements and divide it by the distance between each pole.

The difference between the distances of the two pole placements is 60 meters - 45 meters = 15 meters.

The number of poles between point A and the first pole that will remain in place is given by:

Number of poles = (Difference in distances) / (Distance between each pole)

Number of poles = 15 meters / 45 meters

Number of poles = 1/3

Since we cannot have a fraction of a pole, we round up the number of poles to the nearest whole number. Therefore, the number of poles is 1.

Step 2: Calculate the distance from point A to the first pole that will remain in place

To find the distance from point A to the first pole that will remain in place, we multiply the number of poles by the distance between each pole and subtract it from the distance between the two pole placements.

The distance from point A to the first pole that will remain in place is given by:

Distance from point A = (Distance between the two pole placements) - (Number of poles * Distance between each pole)

Distance from point A = 60 meters - (1 * 45 meters)

Distance from point A = 60 meters - 45 meters

Distance from point A = 15 meters

Therefore, the distance from point A to the nearest pole that will remain in place, excluding the pole at point A, is 15 meters.

Conclusion

The distance from point A to the nearest pole that will remain in place, excluding the pole at point A, is 15 meters.

Please let me know if I can help you with anything else.