Question

Из поселка вышел турист со скоростью 4км/ч. через 1 час вслед за ним выехал велосипедист со скоростью,большей в 2 раза. за сколько часов велосипедист догонит туриста?полное решение пожалуйста

Answer 1

4*2=8 км/ч  ск. велосипедиста
8-4=4 км/ч    ск. сближения
4:4=1 час    через 1 час велосипедист догонит туриста

Answer 2

Велосипедист ехал со скоростью 4*2= 8 км/4. То есть в 2 раза больше
Турист после двух часов преодолеет 8 км, а велосипедист за 1 час преодолеет 8 км. Значит велосипедист догонит за 1 час.

Answer 3

Problem Statement

A tourist leaves a village with a speed of 4 km/h. One hour later, a cyclist sets off after the tourist with a speed twice as fast. How many hours will it take for the cyclist to catch up with the tourist?

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's assume that the time it takes for the cyclist to catch up with the tourist is t hours.

The distance traveled by the tourist in t hours is given by: distance_tourist = speed_tourist × t.

The distance traveled by the cyclist in t hours is given by: distance_cyclist = speed_cyclist × (t - 1).

Since the cyclist sets off one hour later, we subtract 1 from t to account for the time difference.

Since the distance traveled by both the tourist and the cyclist is the same when they meet, we can set up the equation:

distance_tourist = distance_cyclist

Substituting the values, we get:

speed_tourist × t = speed_cyclist × (t - 1)

Given that the speed of the cyclist is twice that of the tourist, we can write:

4 × t = 2 × 4 × (t - 1)

Simplifying the equation, we get:

4t = 8(t - 1)

Expanding and simplifying further, we get:

4t = 8t - 8

Rearranging the equation, we get:

4t - 8t = -8

-4t = -8

Dividing both sides of the equation by -4, we get:

t = 2

Therefore, it will take the cyclist 2 hours to catch up with the tourist.

Answer

The cyclist will catch up with the tourist in 2 hours.