Question

Намеченный путь Поезд проехал за 3 часа. В первый час он проехал 25% намеченного пути, во второй час - на 60% больше чем в первый, а в третий час -оставшиеся 77 км. Найдите длину всего пути

Answer 1

25%+60%=85% 100%-85%=15%-77 км 77:15=5 2/15(км)-1% 5 2/15*100=513 1/3(км)-весь путь

Answer 2

Problem Analysis

We are given that a train traveled for 3 hours. In the first hour, it covered 25% of the planned distance. In the second hour, it covered 60% more than in the first hour. In the third hour, it covered the remaining 77 km. We need to find the total length of the planned distance.

Solution

Let's break down the information given and solve the problem step by step.

1. In the first hour, the train covered 25% of the planned distance. 2. In the second hour, it covered 60% more than in the first hour. 3. In the third hour, it covered the remaining 77 km.

Let's assume the total planned distance is D km.

1. In the first hour, the train covered 25% of the planned distance, which is 0.25D km. 2. In the second hour, it covered 60% more than in the first hour, which is 1.6 * 0.25D km. 3. In the third hour, it covered the remaining 77 km.

To find the total distance, we can add up the distances covered in each hour:

0.25D + 1.6 * 0.25D + 77 = D

Now we can solve this equation to find the value of D.

0.25D + 0.4D + 77 = D

Simplifying the equation:

0.65D + 77 = D

Subtracting 0.65D from both sides:

77 = 0.35D

Dividing both sides by 0.35:

D = 77 / 0.35

Evaluating the expression:

D ≈ 220

Therefore, the total length of the planned distance is approximately 220 km.

Answer

The total length of the planned distance is approximately 220 km.