Реши задачу:Автобус в первый час прошел 30 км,во второй - 24 км,в третий-42 км. Какую часть всего
пути прошел автобус в каждый час? Какую часть пути,оставшуюся после первого часа движения , прошел автобус во второй час и какую - в третий часОтветы на вопрос
S2=24
S3=42
S=S1+S2+S3=30+24+42=96
Часть пути в первый час=30:96=0.3125
Часть пути во второй час=24:96=0.25
Часть пути в третий час=42/96=0.4375
Путь, оставшийся после 1 часа движения = 24+42=66
Часть пути после 1 часа движения за 2 час=24:66=0.36
Часть пути после 1 часа движения за 3 час=42:66=0.64
Problem Analysis
We are given the distances traveled by a bus in the first, second, and third hours of its journey: 30 km, 24 km, and 42 km, respectively. We need to find the fraction of the total distance traveled by the bus in each hour, as well as the fraction of the remaining distance after the first hour that the bus traveled in the second and third hours.Solution
To find the fraction of the total distance traveled by the bus in each hour, we need to divide the distance traveled in each hour by the total distance traveled.Let's calculate the total distance traveled by the bus: - In the first hour: 30 km - In the second hour: 24 km - In the third hour: 42 km
The total distance traveled by the bus is the sum of these distances: 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: 30 km / 96 km = 0.3125 or 31.25% - In the second hour: 24 km / 96 km = 0.25 or 25% - In the third hour: 42 km / 96 km = 0.4375 or 43.75%
To find the fraction of the remaining distance after the first hour that the bus traveled in the second and third hours, we need to subtract the distance traveled in the first hour from the total distance, and then calculate the fraction of the remaining distance traveled in each hour.
The remaining distance after the first hour is: 96 km - 30 km = 66 km.
Now, let's calculate the fraction of the remaining distance traveled by the bus in each hour: - In the second hour: 24 km / 66 km = 0.3636 or 36.36% - In the third hour: 42 km / 66 km = 0.6364 or 63.64%
Summary
Based on the given information, we can conclude the following: - The bus traveled approximately 31.25% of the total distance in the first hour, 25% in the second hour, and 43.75% in the third hour. - The bus traveled approximately 36.36% of the remaining distance after the first hour in the second hour, and 63.64% in the third hour.Please note that the above calculations are approximate and rounded to two decimal places for simplicity.
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