Question

В первый час автобус прошел 40% всего пути, во второй час 1/3 пути, а в третий - остальные 28 км.какое расстояние прошел автобус за эти три часа?

Answer 1

40%=0,4=2/5 части пути прошёл за первый час
принимаем весь путь за 1 целую часть,тогда
1-2/5-1/3=4/15 части всего пути прошёл за третий час
28:4/15=105 км весь путь
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Answer 2

Calculation of the Distance Traveled by the Bus

To calculate the distance traveled by the bus in the first three hours, we need to determine the total distance of the journey. Let's assume the total distance is represented by D.

According to the given information: - In the first hour, the bus traveled 40% of the total distance. - In the second hour, the bus traveled 1/3 of the total distance. - In the third hour, the bus traveled the remaining 28 km.

To find the distance traveled in each hour, we can set up the following equations:

1. Distance traveled in the first hour: 0.4D. 2. Distance traveled in the second hour: (1/3)D. 3. Distance traveled in the third hour: 28 km.

To find the total distance, we can add up the distances traveled in each hour:

0.4D + (1/3)D + 28 = D

Now, let's solve this equation to find the value of D.

0.4D + (1/3)D + 28 = D

Combining like terms:

0.4D + (1/3)D - D = -28

Multiplying through by 12 to clear the fractions:

4.8D + 4D - 12D = -336

Simplifying:

-3.2D = -336

Dividing both sides by -3.2:

D = -336 / -3.2

D = 105

Therefore, the total distance of the journey is 105 km.

Now, let's calculate the distance traveled by the bus in the first three hours:

1. Distance traveled in the first hour: 0.4D = 0.4 * 105 = 42 km. 2. Distance traveled in the second hour: (1/3)D = (1/3) * 105 = 35 km. 3. Distance traveled in the third hour: 28 km.

Therefore, the bus traveled a total distance of 42 km + 35 km + 28 km = 105 km in the first three hours.

Answer: The bus traveled a distance of 105 km in the first three hours.