Question

Ткрист за два дня проехал на вселосипеде 2/3 маршрута.В первый день он проехал 20% маршрута и еще 20 км,а во воторой 25% остатка иеще 45 км.Какова длина маршрута?

Answer 1

20% = 0,2
25% = 0,25
Пусть х км - весь маршрут,
тогда (0,2х + 20) км - турист проехал за первый день,
(0,25(х - (0,2х + 20)) + 45) км - за второй день,
х/3 км - остаток.
х - (0,2х + 20 + 0,25(х - (0,2х + 20)) + 45) = х/3
х - (0,2х + 20 + 0,25(х - 0,2х - 20) + 45) = х/3
х - (0,2х + 20 + 0,25(0,8х - 20) + 45) = х/3
х - (0,2х + 20 + 0,2х - 5 + 45) = х/3
х - 0,2х - 20 - 0,2х + 5 - 45 = х/3
0,6х - 60 = х/3
0,6х · 3 - 60 · 3 = х
1,8х - 180 = х
1,8х - х = 180
0,8х = 180
х = 180 : 0,8
х = 225 (км) - длина всего маршрута.
Ответ: 225 км.

Answer 2

Calculation of the Length of the Route

To calculate the length of the route, we need to determine the distance covered by Tkrist on each day and then add them together.

Let's break down the information given:

- Tkrist covered 2/3 of the route in two days. - On the first day, Tkrist covered 20% of the route and an additional 20 km. - On the second day, Tkrist covered 25% of the remaining distance and an additional 45 km.

To calculate the length of the route, we can follow these steps:

1. Calculate the distance covered on the first day: - Tkrist covered 20% of the route, which is 20/100 * x, where x is the total length of the route. - Tkrist also covered an additional 20 km. - So, the total distance covered on the first day is 20/100 * x + 20 km.

2. Calculate the remaining distance after the first day: - Tkrist covered 2/3 of the route in total, so the remaining distance is 1/3 * x.

3. Calculate the distance covered on the second day: - Tkrist covered 25% of the remaining distance, which is 25/100 * (1/3 * x). - Tkrist also covered an additional 45 km. - So, the total distance covered on the second day is 25/100 * (1/3 * x) + 45 km.

4. Add the distances covered on both days to get the total length of the route: - Total length of the route = Distance covered on the first day + Distance covered on the second day.

Let's calculate the length of the route using the given information:

Distance covered on the first day = 20/100 * x + 20 km Remaining distance after the first day = 1/3 * x Distance covered on the second day = 25/100 * (1/3 * x) + 45 km Total length of the route = Distance covered on the first day + Distance covered on the second day

Now, let's substitute the values and calculate the length of the route.

Calculation:

Distance covered on the first day = 20/100 * x + 20 km Remaining distance after the first day = 1/3 * x Distance covered on the second day = 25/100 * (1/3 * x) + 45 km Total length of the route = Distance covered on the first day + Distance covered on the second day

Substituting the values:

Distance covered on the first day = 20/100 * x + 20 km Remaining distance after the first day = 1/3 * x Distance covered on the second day = 25/100 * (1/3 * x) + 45 km Total length of the route = (20/100 * x + 20 km) + (25/100 * (1/3 * x) + 45 km)

Simplifying the equation:

Total length of the route = 20/100 * x + 20 km + 25/100 * (1/3 * x) + 45 km Total length of the route = 20/100 * x + 25/100 * (1/3 * x) + 20 km + 45 km Total length of the route = 20/100 * x + 25/100 * (1/3 * x) + 65 km Total length of the route = (20/100 + 25/100 * 1/3) * x + 65 km Total length of the route = (20/100 + 25/300) * x + 65 km Total length of the route = (60/300 + 25/300) * x + 65 km Total length of the route = 85/300 * x + 65 km

Therefore, the length of the route is 85/300 * x + 65 km.

Please note that the value of x is not provided in the given information, so we cannot determine the exact length of the route without additional information.