Question

2.Пассажирский поезд, состоящий из электровоза и 20 вагонов, весит 426,5 т, причем вес электровоза на 6,5 т больше веса пяти вагонов. Найдите, сколько весит электровоз и сколько один вагон

Answer 1

(426,5-6,5):(20+5)=16,8
16,8*5+6,5=90,5
Ответ электро воз весит 90,5т, а один вагон 16,8т

Answer 2

Problem Analysis

We are given a passenger train consisting of an electric locomotive and 20 cars. The total weight of the train is 426.5 tons, and the weight of the locomotive is 6.5 tons more than the weight of five cars. We need to find the weight of the locomotive and the weight of one car.

Solution

Let's assume the weight of one car is x tons.

According to the given information, the weight of the locomotive is 6.5 tons more than the weight of five cars. Therefore, the weight of the locomotive is 5x + 6.5 tons.

The total weight of the train is 426.5 tons. This includes the weight of the locomotive and the weight of the 20 cars. Therefore, we can set up the following equation:

Weight of locomotive + Weight of 20 cars = Total weight of the train

Substituting the values, we get:

(5x + 6.5) + 20x = 426.5

Simplifying the equation, we have:

25x + 6.5 = 426.5

Subtracting 6.5 from both sides, we get:

25x = 420

Dividing both sides by 25, we find:

x = 16.8

Therefore, the weight of one car is 16.8 tons.

To find the weight of the locomotive, we substitute the value of x into the equation:

Weight of locomotive = 5x + 6.5 = 5(16.8) + 6.5 = 84 + 6.5 = 90.5

Therefore, the weight of the locomotive is 90.5 tons.

Answer

The weight of the electric locomotive is 90.5 tons and the weight of one car is 16.8 tons.