Question

Помогите решить задачу уровнением.Из котлована нужно вывезти 1200т земли.Работают 5 семитонных и 4 пятитонных самосвала.Каждая машина за день сделала 15 рейсов.Закончена ли вся работа?Если нет,сколько земли осталось вывезти?

Answer 1

5x7+4x5=55
55x15=825
1200-825=375
ответ из котлована осталось вывезти 375 т земли

Answer 2

To solve this problem, we need to calculate the total amount of earth that can be transported in a day by the trucks and compare it to the amount of earth that needs to be removed.

Let's start by calculating the total capacity of the trucks in one day. We have 5 trucks with a capacity of 7 tons each (5 * 7 = 35 tons) and 4 trucks with a capacity of 5 tons each (4 * 5 = 20 tons). Therefore, the total capacity of all the trucks is 35 + 20 = 55 tons per day.

Since each truck makes 15 trips in a day, we can calculate the total amount of earth that can be transported in one day by multiplying the total capacity of the trucks by the number of trips: 55 tons/day * 15 trips = 825 tons/day.

Now, let's see if the trucks can remove all 1200 tons of earth. If the trucks can transport 825 tons per day, we can calculate the number of days required to remove 1200 tons by dividing the total amount of earth by the amount that can be transported in one day: 1200 tons / 825 tons/day = 1.45 days.

Since we cannot have a fraction of a day, we can conclude that the trucks will need 2 days to remove all 1200 tons of earth. On the first day, they will remove 825 tons, and on the second day, they will remove the remaining 375 tons.

Therefore, the answer to the question is that the work is not finished yet. There are still 375 tons of earth left to be removed.

I hope this helps! Let me know if you have any further questions.