Question

Намеченый путь поезд проехал за 3 часа. В первый час он проехал 25% намеченного пути. Во второй день - на 40% больше, чем в первый день. А в третий - оставшиеся 75 км. Найдите длину всего пути

Answer 1

 25+(25*0,4) =35%всего пути проехал за 2-ой час
100%-(25%+35%) =40% пути проехал за 3 час
75:0,40=187,5 км длина всего пути

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. On the second day, it covered 40% more than on the first day. And on the third day, it covered the remaining 75 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. On the second day, it covered 40% more than on the first day. 3. On the third day, it covered the remaining 75 km.

Let's denote the total length of the planned distance as x.

1. In the first hour, the train covered 25% of the planned distance, which is 0.25x. 2. On the second day, it covered 40% more than on the first day. So, the distance covered on the second day is 0.25x + 0.4(0.25x) = 0.25x + 0.1x = 0.35x. 3. On the third day, the train covered the remaining 75 km, which is equal to the remaining distance: x - (0.25x + 0.35x) = x - 0.6x = 0.4x = 75 km.

Now, we can solve for x:

0.4x = 75 km

Dividing both sides by 0.4:

x = 75 km / 0.4

Calculating the value:

x = 187.5 km

Therefore, the total length of the planned distance is 187.5 km.

Answer

The total length of the planned distance is 187.5 km.