Question

За первый час автобус проехал 2/5 маршрута, за второй час 1/3 оставшейся части маршрута. В конце третьего часа автобус прибыл в пункт назначения. Сколько процентов маршрута проехал автобус за третий час

Answer 1

1) 1 - 2/5 = 5/5 - 2/5 = 3/5 остаток
2) 3/5 * 1/3 = 1/5 за второй час
3) 2/5 + 1/5 = 3/5 проехал за 2 часа вместе
4) 1 - 3/5 = 5/5 - 3/5 = 2/5 проехал за третий час
5) 2/5 = 0,4 * 100 = 40 % проехал за третий час

Answer 2

Problem Analysis

We are given that a bus traveled 2/5 of the route in the first hour and 1/3 of the remaining route in the second hour. We need to determine the percentage of the route the bus traveled in the third hour.

Solution

To solve this problem, we need to find the fraction of the route that remains after the first two hours and then calculate the percentage of that fraction that the bus traveled in the third hour.

Let's assume the total length of the route is x units.

In the first hour, the bus traveled 2/5 of the route, which is equal to (2/5) * x.

After the first hour, the remaining distance is (3/5) * x.

In the second hour, the bus traveled 1/3 of the remaining distance, which is equal to (1/3) * (3/5) * x.

After the second hour, the remaining distance is (2/5) * (3/5) * x.

At the end of the third hour, the bus arrived at the destination, which means it traveled the remaining distance, which is (2/5) * (3/5) * x.

To find the percentage of the route the bus traveled in the third hour, we need to divide the distance traveled in the third hour by the total distance of the route and multiply by 100.

Let's calculate the percentage:

Distance traveled in the third hour = (2/5) * (3/5) * x

Percentage of the route traveled in the third hour = (Distance traveled in the third hour / Total distance of the route) * 100

Calculation

Let's calculate the percentage using the given information.

Distance traveled in the third hour = (2/5) * (3/5) * x = 6/25 * x

Percentage of the route traveled in the third hour = (6/25 * x / x) * 100 = 6/25 * 100 = 24%

Answer

The bus traveled 24% of the route in the third hour.

Explanation

The bus traveled 2/5 of the route in the first hour, which means there are 3/5 of the route remaining. In the second hour, the bus traveled 1/3 of the remaining distance, which is (1/3) * (3/5) = 1/5 of the total route. Therefore, at the end of the second hour, there are 2/5 of the route remaining. In the third hour, the bus traveled the remaining distance, which is (2/5) * (3/5) = 6/25 of the total route. To find the percentage, we divide the distance traveled in the third hour by the total distance of the route and multiply by 100, which gives us 24%.