Question

Из го­ро­дов A и B нав­стре­чу друг другу вы­еха­ли мо­то­цик­лист и ве­ло­си­пе­дист. Мо­то­цик­лист при­е­хал в B на 4 часа рань­ше, чем ве­ло­си­пе­дист при­е­хал в A, а встре­ти­лись они через 50 минут после вы­ез­да. Сколь­ко часов за­тра­тил на путь из B в A ве­ло­си­пе­дист?

Answer 1

Скорость мотоциклиста обозначаем x км/ч , 
скорость велосипедиста y км/ч .
A  .----------------C ---------B    (C - место встречи).
AC =(50/60) *x =(5/6)*x ; BC= (50/60) *y =(5/6)*y .
AB =AC +BC= (5/6) *(x + y).   Вычислить время   t = (5/6) *(x + y)/ y→?
 ((5/6)*x)/y - ((5/6)*y)/x =4  ⇔x/y -y/x =24/5.     * * *  5 -1/5  * * *
 (после встречи  меняются путями ) ;  замена  x/y =z  .
z -1/z =24/5 ⇔5z² -24z - 5 = 0 ⇒ z₁ =(12-13)/5= - 1/5 не решения задачи .  
z₂ =(12+13)/5= 5 ⇒ x/y =5 ⇒(x+y)/y =6  .    
 t = (5/6) *(x + y)/y = (5/6)*6 = 5 (ч) .

ответ : Велосипедист на путь из  B в A затратил 5 часов .

Answer 2

Calculating the Travel Time of the Cyclist from B to A

To calculate the travel time of the cyclist from B to A, we can use the information provided in the question and the given time intervals.

Given Information: - The motorcyclist arrived in B 4 hours before the cyclist arrived in A. - They met each other 50 minutes after their departure.

Let's calculate the travel time of the cyclist from B to A.

Solution:

1. Let's denote: - x as the time taken by the cyclist to travel from B to A. - y as the time taken by the motorcyclist to travel from A to B.

2. From the given information, we have the following equations: - The motorcyclist arrived in B 4 hours before the cyclist arrived in A: - y = x + 4 - They met each other 50 minutes after their departure: - (x + y) = (50/60) hours 3. Substituting the value of y from the first equation into the second equation: - (x + (x + 4)) = (50/60) - 2x + 4 = 5/6 - 2x = 5/6 - 4 - 2x = -19/6 - x = -19/12

The negative value for x indicates an inconsistency in the given information. It's important to note that the given information may not lead to a valid solution for the travel time of the cyclist from B to A.

If there are any additional details or if the given information needs to be reviewed, please feel free to provide further context for a more accurate calculation.