Question

Два тракториста за 7 дней вспахали 147 га поля.Площадь поля,вспаханного первым трактористом за 3 дня,равна площади поля,вспаханного вторым трактористом за 4 дня.Сколько гектаров поля вспахал каждый тракторист за один день?

Answer 1

за 7 дней --------147 га поля
если первый тракторист за день вспахал-------x га
то второй  тракторист за день вспахал-------y га получается:
7(х+у)=147  x+y=21    y=21-x
3х=4у                           3x=4(21-x)   
                                     3x=84-4x
                                     3x+4x=84
                                     7x=84
                                     x=84:7
                                     x=12га вспахал за один день первый тракторист
                                     y=21-12=9га вспахал за один день второй тракторист
                             

Answer 2

Problem Analysis

We are given that two tractor drivers plowed a field with a total area of 147 hectares in 7 days. The area plowed by the first driver in 3 days is equal to the area plowed by the second driver in 4 days. We need to find out how many hectares each driver plowed in one day.

Solution

Let's assume that the first driver plowed x hectares per day and the second driver plowed y hectares per day.

From the given information, we can create two equations:

Equation 1: The total area plowed by both drivers in 7 days is 147 hectares. x * 3 + y * 4 = 147

Equation 2: The area plowed by the first driver in 3 days is equal to the area plowed by the second driver in 4 days. x * 3 = y * 4

We can solve these equations to find the values of x and y.

Solving the Equations

Let's solve Equation 2 for x: x = (y * 4) / 3

Substituting this value of x into Equation 1: ((y * 4) / 3) * 3 + y * 4 = 147 4y + 4y = 147 8y = 147 y = 147 / 8 y = 18.375

Now, substituting the value of y back into Equation 2 to find x: x = (18.375 * 4) / 3 x = 24.5

Answer

Therefore, the first driver plowed 24.5 hectares per day, and the second driver plowed 18.375 hectares per day.

Please note that the values of x and y are rounded to three decimal places for simplicity.