Question

Чтобы осушить луг,прорыли три канавы.первая канава состовляла 3:13 части ,вторая -4:13 части длины всех трех канав.длина третьей канавы равра4,8 км. Найдите длину первой и второй канав

Answer 1

1) 1 - (3/13 + 4/13) = 6/13 - составляет 3 канава от длины всех канав.
2) 4,8 : 6/13 = 10,4 (км) - длина всех трёх канав.
3) 10,4 * 3/13 = 2,4 (км) - длина первой канавы.
4) 10,4 * 4/13 = 3,2 (км) - длина второй канавы.
Ответ: 2,4 (км); 3,2 (км).

Answer 2

Calculating the Length of the First and Second Ditches

To find the length of the first and second ditches, we can use the given information about the proportions of their lengths.

Let's denote the total length of all three ditches as L.

The first ditch is 3/13 of the total length, and the second ditch is 4/13 of the total length. The third ditch is given to be 4.8 km in length.

We can set up the following equations to solve for the lengths of the first and second ditches:

1. Length of the first ditch: 3/13 * L 2. Length of the second ditch: 4/13 * L

We can use the given information about the third ditch to find the value of L and then calculate the lengths of the first and second ditches.

Calculations

Given: - Length of the third ditch (L3) = 4.8 km

We can use the proportion of the third ditch to the total length to find the value of L:

L3 = 4.8 km

Now, we can solve for L: L = L3 / (4.8 / 4.8)

This gives us the total length L.

Next, we can calculate the lengths of the first and second ditches using the proportions:

1. Length of the first ditch: 3/13 * L 2. Length of the second ditch: 4/13 * L

Let's calculate the lengths of the first and second ditches using the given information.

Results

- Length of the first ditch: 3/13 * L - Length of the second ditch: 4/13 * L

By substituting the value of L obtained earlier, we can find the lengths of the first and second ditches.