Question

Расстояние от Харькова до Киева составляет 483км. Оно на 294 км больше, чем расстояние от Киева до Черкасс, и на 142 км больше расстояния от Черкасс до Винницы. Какое расстояние преодолел турист маршрута Харьков - Киев - Черкассы - Винница?

Answer 1

1)483-294=189 км Київ - Черкаси
2)483-142=341 км Черкаси - Вінниця
3)483+189+341=1013 км пройшов турист Харків - Київ - Черкаси - Вінниця

Answer 2

Calculation of the Distance Traveled by the Tourist

To calculate the distance traveled by the tourist on the route from Kharkiv to Kyiv to Cherkasy to Vinnytsia, we need to add up the individual distances between each pair of cities.

Given the information provided, we know the following distances:

- Distance from Kharkiv to Kyiv: 483 km - Distance from Kyiv to Cherkasy: unknown - Distance from Cherkasy to Vinnytsia: unknown

We are also given two additional pieces of information:

1. The distance from Kharkiv to Kyiv is 294 km longer than the distance from Kyiv to Cherkasy. 2. The distance from Kharkiv to Kyiv is 142 km longer than the distance from Cherkasy to Vinnytsia.

Let's use these pieces of information to calculate the missing distances.

Calculation Steps:

1. Let's assume the distance from Kyiv to Cherkasy is x km. 2. According to the given information, the distance from Kharkiv to Kyiv is 294 km longer than the distance from Kyiv to Cherkasy. Therefore, the distance from Kharkiv to Kyiv can be expressed as x + 294 km. 3. Similarly, the distance from Kharkiv to Kyiv is also 142 km longer than the distance from Cherkasy to Vinnytsia. Therefore, the distance from Cherkasy to Vinnytsia can be expressed as (x + 294) - 142 km.

Now, we can calculate the total distance traveled by the tourist:

- Distance from Kharkiv to Kyiv: x + 294 km - Distance from Kyiv to Cherkasy: x km - Distance from Cherkasy to Vinnytsia: (x + 294) - 142 km

To find the total distance, we add up these distances:

Total distance = (Distance from Kharkiv to Kyiv) + (Distance from Kyiv to Cherkasy) + (Distance from Cherkasy to Vinnytsia)

Total distance = (x + 294) + x + ((x + 294) - 142)

Simplifying the equation:

Total distance = 3x + 446

Now, we need to solve for x to find the value of the distance from Kyiv to Cherkasy.

According to the given information, the distance from Kharkiv to Kyiv is 483 km. Substituting this value into the equation:

483 = 3x + 446

Solving for x:

3x = 483 - 446 3x = 37 x = 37 / 3 x ≈ 12.33

Therefore, the distance from Kyiv to Cherkasy is approximately 12.33 km.

Now, we can calculate the total distance traveled by the tourist:

Total distance = (Distance from Kharkiv to Kyiv) + (Distance from Kyiv to Cherkasy) + (Distance from Cherkasy to Vinnytsia)

Total distance = (483) + (12.33) + ((12.33 + 294) - 142)

Calculating the total distance:

Total distance ≈ 483 + 12.33 + (306.33 - 142) Total distance ≈ 483 + 12.33 + 164.33 Total distance ≈ 659.66 km

Therefore, the tourist traveled approximately 659.66 km on the route from Kharkiv to Kyiv to Cherkasy to Vinnytsia.