Question

Турист отправился в поход со скоростью 4,8 км\ч. Через 3 часа вслед за ним выехал велосипедист со скоростью 12 км\ч и прибыл в пункт назначения одновременно с туристом. Определить длину маршрута.

Answer 1

4,8*3=14,4км прошел турист за 3 часа
за следующий час велосипед проедет 12км, а турист уйдет от точки еще на 4.8км и удаление от точки старта у него составит 19,2км.
через еще один час турист пройдет 24км, а велосипедист проедет те же 24км

Answer 2

Problem Analysis

We are given that a tourist sets off on a hike with a speed of 4.8 km/h. After 3 hours, a cyclist sets off with a speed of 12 km/h and arrives at the destination at the same time as the tourist. We need to determine the length of the route.

Solution

Let's assume the length of the route is L km.

The time taken by the tourist to complete the route is given by: Time taken by tourist = Distance / Speed = L / 4.8 (1)

The time taken by the cyclist to complete the route is given by: Time taken by cyclist = Distance / Speed = L / 12 (2)

According to the problem, the cyclist arrives at the destination at the same time as the tourist, so we can equate the two times: L / 4.8 = L / 12 (3)

To solve for L, we can cross-multiply equation (3): 12L = 4.8L (4)

Dividing both sides of equation (4) by 4.8, we get: L = 0 (5)

However, a length of 0 km doesn't make sense in this context. Let's re-evaluate our solution.

Re-evaluation

It seems there might be an error in the problem statement or the given information. The current solution suggests that the length of the route is 0 km, which is not possible. Let's analyze the problem again.

Revised Problem Analysis

We are given that a tourist sets off on a hike with a speed of 4.8 km/h. After 3 hours, a cyclist sets off with a speed of 12 km/h and arrives at the destination at the same time as the tourist. We need to determine the length of the route.

Revised Solution

Let's assume the length of the route is L km.

The time taken by the tourist to complete the route is given by: Time taken by tourist = Distance / Speed = L / 4.8 (1)

The time taken by the cyclist to complete the route is given by: Time taken by cyclist = Distance / Speed = L / 12 (2)

According to the problem, the cyclist arrives at the destination at the same time as the tourist, so we can equate the two times: L / 4.8 = (L - 3) / 12 (3)

To solve for L, we can cross-multiply equation (3): 12L = 4.8(L - 3) (4)

Expanding equation (4), we get: 12L = 4.8L - 14.4 (5)

Simplifying equation (5), we get: 7.2L = 14.4 (6)

Dividing both sides of equation (6) by 7.2, we get: L = 2 (7)

Therefore, the length of the route is 2 km.

Answer

The length of the route is 2 km.