Question

Велосипедист за першу годину подолав 5/17 усього шляху, а за другу 4/17 усього шляху. Вiдомо, що за двi години велосипедист подолав 27км. Скiльки км становить увесь шлях велосипедиста

Answer 1

5/17+4/17=9/17 - за 2 год
27:9*17=51 км - весь шлях

Answer 2

Problem Analysis

We are given that a cyclist covered 5/17 of the total distance in the first hour and 4/17 of the total distance in the second hour. We also know that the cyclist covered a total distance of 27 km in two hours. We need to find the total distance covered by the cyclist.

Solution

Let's assume the total distance covered by the cyclist is D km.

According to the given information, the cyclist covered 5/17 of the total distance in the first hour and 4/17 of the total distance in the second hour. Therefore, the distance covered in the first hour is (5/17)D km and the distance covered in the second hour is (4/17)D km.

We also know that the total distance covered in two hours is 27 km. So, the sum of the distances covered in the first and second hours should be equal to 27 km:

(5/17)D + (4/17)D = 27

To solve this equation, we can multiply both sides by 17 to eliminate the denominators:

5D + 4D = 27 * 17

Simplifying the equation:

9D = 459

Dividing both sides by 9:

D = 459 / 9

Calculating the value:

D = 51

Therefore, the total distance covered by the cyclist is 51 km.

Answer

The total distance covered by the cyclist is 51 km.