Question

Автобус в первый час прошел 30 км, во второй24км, а в третий 42км. Какую часть всего пути прошел автобус в каждый час? Какую часть пути, оставшуюся после первого раза движения, прошел автобус во второй час и какую в третий час?

Answer 1

30 + 24 + 42 = 96 км прошел за 3 часа
30 \ 96 = 5\16 всего пути прошел за первый час
24\96 = 1\4 часть- за второй час
42 \ 96 = 7\16 часть прошел в третий час
96 - 30 = 66 км осталось после первого часа
24 \ 66 = 4\11 часть оставшегося пути прошел во второй час
42 \ 66 = 7\11 часть оставшегося пути прошел в третий час

Answer 2

Calculation of the Distance Traveled by the Bus in Each Hour

To calculate the fraction of the total distance traveled by the bus in each hour, we need to determine the total distance traveled by the bus and then divide it by the distance traveled in each hour.

Let's calculate the total distance traveled by the bus first:

- In the first hour, the bus traveled 30 km. - In the second hour, the bus traveled 24 km. - In the third hour, the bus traveled 42 km.

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

30 km + 24 km + 42 km = 96 km

Now, let's calculate the fraction of the total distance traveled by the bus in each hour:

- In the first hour, the bus traveled 30 km out of a total distance of 96 km. Therefore, the fraction of the total distance traveled in the first hour is 30/96. - In the second hour, the bus traveled 24 km out of a total distance of 96 km. Therefore, the fraction of the total distance traveled in the second hour is 24/96. - In the third hour, the bus traveled 42 km out of a total distance of 96 km. Therefore, the fraction of the total distance traveled in the third hour is 42/96.

Summary of the Fractions of the Total Distance Traveled by the Bus

- In the first hour, the bus traveled 30/96 of the total distance. - In the second hour, the bus traveled 24/96 of the total distance. - In the third hour, the bus traveled 42/96 of the total distance.

Calculation of the Remaining Distance After Each Hour

To calculate the fraction of the remaining distance traveled by the bus in each hour, we need to subtract the distance traveled in each hour from the total distance and then divide it by the remaining distance.

Let's calculate the remaining distance after each hour:

- After the first hour, the remaining distance is 96 km - 30 km = 66 km. - After the second hour, the remaining distance is 66 km - 24 km = 42 km.

Now, let's calculate the fraction of the remaining distance traveled by the bus in each hour:

- In the second hour, the bus traveled 24 km out of a remaining distance of 66 km. Therefore, the fraction of the remaining distance traveled in the second hour is 24/66. - In the third hour, the bus traveled 42 km out of a remaining distance of 42 km. Therefore, the fraction of the remaining distance traveled in the third hour is 42/42.

Summary of the Fractions of the Remaining Distance Traveled by the Bus

- In the second hour, the bus traveled 24/66 of the remaining distance. - In the third hour, the bus traveled 42/42 of the remaining distance.

Please note that the fractions are simplified as much as possible.