Question

За 3 ч поезд прошел 200 км.В первый час он прошел 40% всего пути, во второй час 50% остатка. Сколько километров прошел поезд за третий час? ПОЖАЛУЙСТА РЕШИТЕ ПО ЯСНЕЕ!!!ЗАРАНЕЕ СПАСИБО!!!!

Answer 1

1) 200*40/100=80км - прошел поезд за первый час
2) 200-80=120 км - осталось пройти
3) 120*50/100=60 км прошел поезд за второй час
4) 200-80-60=60 км прошел поезд за третий час
Ответ: 60 км

Answer 2

Problem Analysis

We are given that a train traveled 200 km in 3 hours. In the first hour, it covered 40% of the total distance, and in the second hour, it covered 50% of the remaining distance. We need to find out how many kilometers the train traveled in the third hour.

Solution

To solve this problem, we can break it down into three steps: 1. Calculate the distance covered in the first hour. 2. Calculate the remaining distance after the first hour. 3. Calculate the distance covered in the second hour and subtract it from the remaining distance to find the distance covered in the third hour.

Let's calculate each step in detail.

Step 1: Calculate the distance covered in the first hour

We are given that the train covered 40% of the total distance in the first hour. To find the distance covered in the first hour, we can multiply the total distance by 40% (or 0.4).

Distance covered in the first hour = 0.4 * Total distance.

Step 2: Calculate the remaining distance after the first hour

To find the remaining distance after the first hour, we need to subtract the distance covered in the first hour from the total distance.

Remaining distance = Total distance - Distance covered in the first hour.

Step 3: Calculate the distance covered in the third hour

We are given that the train covered 50% of the remaining distance in the second hour. To find the distance covered in the second hour, we can multiply the remaining distance by 50% (or 0.5).

Distance covered in the second hour = 0.5 * Remaining distance.

Finally, to find the distance covered in the third hour, we subtract the distance covered in the second hour from the remaining distance.

Distance covered in the third hour = Remaining distance - Distance covered in the second hour.

Let's calculate the solution using the given information.

Calculation

Given: - Total distance = 200 km - Distance covered in the first hour = 0.4 * Total distance - Remaining distance = Total distance - Distance covered in the first hour - Distance covered in the second hour = 0.5 * Remaining distance - Distance covered in the third hour = Remaining distance - Distance covered in the second hour

Substituting the values: - Distance covered in the first hour = 0.4 * 200 km = 80 km - Remaining distance = 200 km - 80 km = 120 km - Distance covered in the second hour = 0.5 * 120 km = 60 km - Distance covered in the third hour = 120 km - 60 km = 60 km

Therefore, the train traveled 60 km in the third hour.

I hope this helps! Let me know if you have any further questions.