Question

Пункты а и в находятся на расстоянии 65 км Из А и В выехал велосипедист со скоростью 12 км/ч и одновременно из В в а выехал другой велосипедист со скоростью 14 км/ч расстояние от места встречи велосипедистов от пункта а равно а) 30 км б) 31 км в) 32 кмС решением!!!!!!

Answer 1

Скорость сближения(12+14)=26км.ч
65км\26км.ч=2.5часа
12км\ч*2.часа=30км
Ответ :30км(а)

Answer 2

V(A)*t+v(B)*t=S 14*t+12*t=65 t=2,5
L=t*v(A)  L=2,5*12=30

Answer 3

Problem Analysis

We are given that points A and B are 65 km apart. A cyclist starts from point A with a speed of 12 km/h, while another cyclist starts from point B towards A with a speed of 14 km/h. The distance between the meeting point of the cyclists and point A is given as 30 km, 31 km, or 32 km. We need to determine the correct distance.

Solution

Let's assume that the distance between the meeting point of the cyclists and point A is x km.

The time taken by the first cyclist to reach the meeting point is given by: time taken by cyclist 1 = distance / speed = x / 12 The time taken by the second cyclist to reach the meeting point is given by: time taken by cyclist 2 = (65 - x) / 14 Since both cyclists start at the same time, the total time taken by both cyclists to reach the meeting point is the same. Therefore, we can equate the two expressions for time:

x / 12 = (65 - x) / 14

To solve for x, we can cross-multiply and simplify the equation:

14x = 12(65 - x)

Simplifying further:

14x = 780 - 12x

26x = 780

x = 780 / 26

x = 30

Therefore, the correct distance between the meeting point of the cyclists and point A is 30 km.

Answer

The correct distance between the meeting point of the cyclists and point A is 30 km.