Question

Три снегоуборочные машины,работая одновременно,за 1 час могут очистить не более 17 км дороги шириной 10 метров.Сколько может потребоваться таких машин для очистки Московской кольцевой автодороги,длина которой -109 км,а ширина - около 38 метров,если очистку необхадимо произвести не более чем за 3 часа?

Answer 1

1) 17 000 м * 10 м = 170 000 м² - площадь, которую очищают 3 машины за 1 час
2) 170 000 м² : 3 = 170000/3 м² -площадь, которую очищает 1 машина за 1 час
3) 109 000 м * 38 м = 4142000 м² - вся площадь кольцевой автодороги
4) 4142000 м²  : 3 ч =  4142000/3 м² - площадь, которую очистят все машины за 1 час
5) 4142000/3 : 170000/3= 4142000/170000 ≈ 24,36 машин = 25 машин потребуется
Ответ: 25 машин  
  

Answer 2

Calculation of Snow Removal Capacity

To determine the number of snow removal machines required to clear the Moscow Ring Road within a given time frame, we need to calculate the snow removal capacity of each machine and then divide the total length of the road by this capacity.

Given information: - Three snow removal machines can clear a maximum of 17 km of road in 1 hour. - The width of the road is approximately 38 meters.

Snow Removal Capacity per Machine

To calculate the snow removal capacity per machine, we need to convert the width of the road from meters to kilometers. Since there are 1000 meters in a kilometer, the width of the road is 0.038 kilometers.

The three machines working simultaneously can clear a maximum of 17 km of road in 1 hour. Therefore, the snow removal capacity per machine per hour is:

Snow removal capacity per machine per hour = 17 km / 3 machines = 5.67 km

Calculation of Required Machines

To calculate the number of machines required to clear the entire Moscow Ring Road, we divide the total length of the road by the snow removal capacity per machine per hour.

The length of the Moscow Ring Road is approximately 109 km. Therefore, the number of machines required is:

Number of machines required = 109 km / 5.67 km ≈ 19.21 machines

Since we cannot have a fraction of a machine, we need to round up to the nearest whole number. Therefore, we would need at least 20 snow removal machines to clear the Moscow Ring Road within the given time frame of 3 hours.

Please note that this calculation assumes ideal conditions and does not account for factors such as traffic, weather conditions, or the efficiency of the snow removal machines.