Question

Турист отправился в поход со скоростью 5,2 км/ч. Через 5 часов вслед за ним выехал велосипедист со скоростью 18,2 км/ч и прибыл в пункт назначения одновременно с туристом. Определите длину маршрута.

Answer 1

Пусть х -время, которое в пути провел велосипедист. Тогда
18.2х-путь велосипедиста
5.2 (5+х) путь пешехода.
решим уравнение 18.2х=5.2 (5+х)
18.2х=26+5.2х
13х=26
х=26/13=2ч был в пути велосипедист
2ч×18.2км/ч=36.4 км длина маршрута

Answer 2

1)5,2*5=26 км прошел турист за 5 ч
2)18,2-5,2=13ч скорость сближения туриста и велосипедиста
3)26:13=2ч через столько велосипедист догнал туриста
4)18,2*2=36,4км длина маршрута

Ответ 36,4км

Answer 3

Calculation of the Length of the Route

To determine the length of the route, we can use the formula: distance = speed × time.

Let's denote the length of the route as d and the time taken by the tourist as t.

According to the given information, the tourist traveled at a speed of 5.2 km/h for 5 hours, and the cyclist traveled at a speed of 18.2 km/h for the same amount of time. Both of them arrived at their destination at the same time.

Using the formula, we can set up the following equations:

For the tourist: d = 5.2 × t .

For the cyclist: d = 18.2 × (t - 5).

Since both equations represent the same distance, we can equate them:

5.2 × t = 18.2 × (t - 5).

Simplifying the equation:

5.2t = 18.2t - 91.

13t = 91.

t = 7.

Now that we have the value of t, we can substitute it back into one of the equations to find the length of the route:

d = 5.2 × 7.

d = 36.4 km.

Therefore, the length of the route is 36.4 km.

Please note that the calculations are based on the given information and assumptions made.