Question

Два поезда одновременно выехали навстречу друг другу. В момент встречи оказалось,что пройденный обоими поездами путь составляет 180% пути,пройденного первым поездом. На сколько процентов путь,пройденный вторым поездом,меньше пути,пройденного первым поездом?

Answer 1

Допустим первый поезд проехал 300 км, значит в момент встречи оба поезда проехали 300 / 100 * 180 = 540 км
540 - 300 = 240 км - проехал 2 поезд
240  / (300/100)  = 80%
100% - 80% = 20% 
Ответ: на 20% 

Answer 2

Х - путь, пройденный первым поездом
1,8х - общий путь, пройденный обоими поездами
1,8х - х = 0,8х - путь, пройденный вторым поездом
$\frac{x-0,8x}{x} * 100 = 20$ %
Ответ: На 20 % путь, пройденный вторым поездом, меньше, чем путь, пройденный первым поездом


или так
100 % - путь первого поезда
180 - 100 = 80 % - путь второго поезда
100 - 80 = 20 % - разница
Ответ: На 20 % путь, пройденный вторым поездом, меньше, чем путь, пройденный первым поездом

Answer 3

Problem Analysis

We have two trains that start simultaneously and meet each other at a certain point. The total distance covered by both trains is 180% of the distance covered by the first train. We need to determine the percentage by which the distance covered by the second train is less than the distance covered by the first train.

Solution

Let's assume the distance covered by the first train is x units. According to the problem, the total distance covered by both trains is 180% of x, which can be expressed as 1.8x.

To find the distance covered by the second train, we subtract the distance covered by the first train from the total distance covered by both trains: Distance covered by second train = Total distance covered by both trains - Distance covered by first train

Substituting the values, we get: Distance covered by second train = 1.8x - x = 0.8x

To find the percentage by which the distance covered by the second train is less than the distance covered by the first train, we divide the distance covered by the second train by the distance covered by the first train and multiply by 100: Percentage = (Distance covered by second train / Distance covered by first train) * 100

Substituting the values, we get: Percentage = (0.8x / x) * 100 = 80%

Therefore, the distance covered by the second train is 80% less than the distance covered by the first train.

Answer

The distance covered by the second train is 80% less than the distance covered by the first train.