Question

груз массой 30 т предполагалось перевезти машиной за несколько рейсов.Однако для перевозки пришлось использовать машину, грузоподъемность которой на 2 т больше, чем предполагалось.Поэтому было сделано на 4 рейса меньше, чем намечалось.За сколько рейсов был перевезен груз?

Answer 1

Пуст за n рейсов был перевезен груз, тогда (n+4) рейсов планировалось сделать.
$\frac{30}{n}- \frac{30}{n+4}=2; n^{2}+4n-60=0;D=64$ с четным коэффициентом
$n=-2-8=-10$ посторонний корень
$n=-2+8=6$, За 6 рейсов был перевезен груз.
Ответ 6

Answer 2

Calculating the Number of Trips Required to Transport the Load

To calculate the number of trips required to transport the load, we can use the following approach:

1. Original Plan: - The original plan was to transport a load with a mass of 30 tons using a certain vehicle over several trips. - However, it became necessary to use a vehicle with a load capacity 2 tons greater than originally planned. - As a result, 4 fewer trips were made than initially intended.

2. Calculating the Number of Trips: - To find the number of trips required to transport the load, we can use the concept of load capacity and the change in the number of trips.

3. Solution: - Let's denote the original load capacity as LC_original and the actual load capacity used as LC_actual. - The difference in load capacities is given by: LC_diff = LC_actual - LC_original. - The reduction in the number of trips is 4, which is directly related to the increase in load capacity. - We can use the relationship between load capacity and the number of trips to calculate the number of trips required.

- The formula to calculate the number of trips is: Number of Trips = Original Load Mass / Load Capacity - Since the load capacity increased by 2 tons, the new load capacity is: LC_actual = LC_original + 2. - The number of trips can be calculated using the new load capacity.

4. Calculating the Number of Trips: - Using the given information, we can calculate the number of trips required to transport the load with the increased load capacity.

- Number of Trips = 30 tons / (LC_original + 2 tons) - Number of Trips = 30 / (LC_original + 2)

- We also know that the number of trips was 4 less than originally planned, so: Number of Trips = (30 / (LC_original + 2)) - 4

5. Final Answer: - By using the above formula, we can calculate the number of trips required to transport the load with the increased load capacity.

- Number of Trips = (30 / (LC_original + 2)) - 4

- By solving this equation, we can determine the number of trips required to transport the load with the increased load capacity.

6. Conclusion: - The number of trips required to transport the load with the increased load capacity can be calculated using the given information and the relationship between load capacity and the number of trips.