Question

Два туриста вышли одновременно навстречу друг другу из двух пунктов А и В и встретились через 3 ч 20 мин. За какое время каждый турист проходит расстояние от А до В, если первый прибыл в В через 5 ч после того, как второй прибыл в А?

Answer 1

х-скорость 1,у-скорость 2

{3 1/3*(x+y)=1⇒x+y=0,3⇒x=0,3-y

{1/x-1/y=5⇒y-x=5xy

y-0,3+y=1,5y-5y²

5y²+0,5y-0,3=0

D=0,25+6=6,25

y1=(-0,5-2,5)/10=-0,3 не удов усл

у2=(-0,5+2,5)/10=0,2⇒1:0,2=5 часов второй

х=0,3-0,2=0,1 ⇒1:0,1=10 часов

Answer 2

Problem Analysis

Two tourists start simultaneously from points A and B and meet after 3 hours and 20 minutes. The first tourist arrives at point B 5 hours after the second tourist arrives at point A. We need to find the time it takes for each tourist to travel from A to B.

Solution

Let's assume the time it takes for the first tourist to travel from A to B is x hours, and the time it takes for the second tourist to travel from A to B is y hours.

From the given information, we can set up the following equations: 1. The first tourist arrives at point B 5 hours after the second tourist arrives at point A: x = y + 5. 2. The two tourists meet after 3 hours and 20 minutes, which is equivalent to 3.33 hours: x + y = 3.33.

We can solve this system of equations to find the values of x and y.

Solving the Equations

Substituting the value of x from equation 1 into equation 2, we get: (y + 5) + y = 3.33.

Simplifying the equation: 2y + 5 = 3.33.

Subtracting 5 from both sides: 2y = 3.33 - 5.

Simplifying further: 2y = -1.67.

Dividing both sides by 2: y = -0.835.

Since time cannot be negative, we can discard this solution.

Conclusion

Based on the given information, it is not possible to determine the time it takes for each tourist to travel from point A to point B. The given information may be inconsistent or incomplete.

Please note that the negative solution obtained is not valid in the context of this problem.