Question

Из двух городов, расстояние между которыми 140 км, выехали одновременно навстречу друг другу два велосипедиста и встретились через 8ч. Какое расстояние будет между ними через 2ч после встречи? Помогите решить.

Answer 1

140/8=17,5 км/час скорость сближения
значит после встречи через 2 час они будут на расстоянии 2*17,5= 35км

Answer 2

140/8=17,5 км/час скорость обоих велосипедистов
17,5*2=35 км будет между велосипедистами через 2 часа после встречи

Answer 3

Problem Analysis

We have two cyclists who start simultaneously from two cities and meet after 8 hours. The distance between the cities is 140 km. We need to find the distance between them after 2 hours of meeting.

Solution

Let's assume the speed of the first cyclist is x km/h and the speed of the second cyclist is y km/h.

We know that the distance traveled by each cyclist is equal to their speed multiplied by the time. Therefore, we can set up the following equations:

For the first cyclist: Distance1 = x * 8

For the second cyclist: Distance2 = y * 8

Since they meet after 8 hours, the sum of their distances should be equal to the total distance between the cities: Distance1 + Distance2 = 140

Now, we can solve these equations to find the values of x and y.

Calculation

Let's solve the equations:

Distance1 = x * 8

Distance2 = y * 8

Distance1 + Distance2 = 140

From the first equation, we can express x in terms of Distance1: x = Distance1 / 8

Similarly, from the second equation, we can express y in terms of Distance2: y = Distance2 / 8

Substituting these values in the third equation, we get: (Distance1 / 8) + (Distance2 / 8) = 140

Multiplying both sides of the equation by 8, we get: Distance1 + Distance2 = 1120

Now, we have two equations: Distance1 + Distance2 = 1120 Distance1 + Distance2 = 140

Since both equations are equal, we can conclude that the distance between them after 2 hours of meeting will also be 140 km.

Answer

Therefore, the distance between the two cyclists after 2 hours of meeting will still be 140 km.