Question

Солдаты должны были выкопать окопы в первый день они выкопали 27% окопа во второй день 23% а третий день оставшиеся 2.61 км чему равна длина всего окопа

Answer 1

24+27=50%
т.е. половина
2.61*2 = 5,22км

Answer 2

Calculation of the Total Length of the Trench

To calculate the total length of the trench, we need to add up the lengths of the trenches dug on each day.

On the first day, the soldiers dug 27% of the trench. On the second day, they dug 23% of the trench. On the third day, the remaining trench length was 2.61 km.

To find the total length of the trench, we can use the following equation:

Total Length of Trench = Length Dug on Day 1 + Length Dug on Day 2 + Remaining Length on Day 3

Let's calculate the total length of the trench step by step.

Calculation Step 1: Length Dug on Day 1

The soldiers dug 27% of the trench on the first day. To find the length, we need to know the total length of the trench. Let's assume the total length of the trench is "x" km.

Length Dug on Day 1 = 27% of x km = 0.27x km

Calculation Step 2: Length Dug on Day 2

The soldiers dug 23% of the trench on the second day. We already know the length dug on the first day was 0.27x km. To find the length dug on the second day, we subtract the length dug on the first day from the total length of the trench.

Length Dug on Day 2 = 23% of (x - 0.27x) km = 0.23(0.73x) km = 0.1679x km

Calculation Step 3: Remaining Length on Day 3

The remaining length of the trench on the third day is given as 2.61 km.

Remaining Length on Day 3 = 2.61 km

Calculation Step 4: Total Length of the Trench

To find the total length of the trench, we add up the lengths calculated in the previous steps.

Total Length of Trench = Length Dug on Day 1 + Length Dug on Day 2 + Remaining Length on Day 3

Total Length of Trench = 0.27x km + 0.1679x km + 2.61 km

Now, we can solve the equation to find the value of "x" and calculate the total length of the trench.

Let's solve the equation:

0.27x km + 0.1679x km + 2.61 km = x km

0.4379x km + 2.61 km = x km

2.61 km = x km - 0.4379x km

2.61 km = 0.5621x km

x km = 2.61 km / 0.5621

x km ≈ 4.64 km

Therefore, the total length of the trench is approximately 4.64 km.