Question

За 3 часа поезд прошел 240 км.в первый час он прошел 40%всего пути во второй час 50%остатка .Сколько км прошел поезд за третий час?

Answer 1

72 километра прошёл поезд за третий час

Answer 2

240км = 100% пути
240:100*40=96 км - 40% пути
остаток 60% т.е. 240:100*60=144 остаток
144:100*50=72 км -50% остатка пути

Answer 3

Calculation of Distance Traveled by the Train

To calculate the distance traveled by the train in the third hour, we need to break down the information provided.

- In the first hour, the train traveled 40% of the total distance. - In the second hour, the train traveled 50% of the remaining distance.

Let's calculate the distance traveled step by step:

1. Calculate the distance traveled in the first hour: - The train traveled 40% of the total distance in the first hour. - Since the total distance is not given, we'll represent it as x. - Therefore, the distance traveled in the first hour is 0.4x.

2. Calculate the remaining distance after the first hour: - The train has traveled 40% of the total distance, which means 60% of the total distance remains. - The remaining distance after the first hour is 0.6x.

3. Calculate the distance traveled in the second hour: - The train traveled 50% of the remaining distance in the second hour. - Therefore, the distance traveled in the second hour is 0.5 * 0.6x.

4. Calculate the remaining distance after the second hour: - The train has traveled 50% of the remaining distance, which means 50% of the remaining distance remains. - The remaining distance after the second hour is 0.5 * 0.6x.

5. Calculate the distance traveled in the third hour: - The train will travel the remaining 50% of the distance in the third hour. - Therefore, the distance traveled in the third hour is 0.5 * 0.5 * 0.6x.

Now, let's calculate the distance traveled in the third hour using the given information:

- The train traveled 240 km in 3 hours. - We can set up the equation: 0.4x + 0.5 * 0.6x + 0.5 * 0.5 * 0.6x = 240.

Simplifying the equation:

- 0.4x + 0.3x + 0.15x = 240. - 0.85x = 240. - x = 240 / 0.85. - x ≈ 282.35.

Now, let's substitute the value of x into the equation to find the distance traveled in the third hour:

- Distance traveled in the third hour = 0.5 * 0.5 * 0.6x. - Distance traveled in the third hour = 0.5 * 0.5 * 0.6 * 282.35.

Calculating the result:

- Distance traveled in the third hour ≈ 50.82 km.

Therefore, the train traveled approximately 50.82 km in the third hour.