Question

Городов А и Б навстречу друг другу одновременно выехали Мотоциклист и велосипедист мотоциклист приехал в б на 9 часов раньше чем велосипедист приехал в А ,а встретились они через 2 часа 24 минуты после выезда сколько часов затратил на путь из B в A велосипедист

Answer 1

Пусть расстояние от A до Б = 1.
время движения велосипедиста = х, тогда мотоциклиста = х-9
встретились через 2ч 24 мин значит в сумме весь путь был пройден.
составим уравнение, где Vмот=S/t=1/(x-9)
Vвел=S/t=1/x
S=Vt
значит (1/(x-9)+1/x)*2*24/60=1
ОДЗ: x>9
когда упростим, получится квадратное уравнение: 5x^2-69x+108=0
x1=9/5 - не удовлетворяет ОДЗ
x2=12
ответ: 12 часов

Answer 2

Problem Analysis

We are given that two individuals, a motorcyclist and a cyclist, start simultaneously from cities A and B respectively. The motorcyclist arrives in city B 9 hours earlier than the cyclist arrives in city A. They meet each other 2 hours and 24 minutes after their departure. We need to determine how many hours the cyclist spent traveling from city B to city A.

Solution

Let's assume that the cyclist spent x hours traveling from city B to city A. Since the motorcyclist arrived in city B 9 hours earlier than the cyclist arrived in city A, we can express the time of arrival for the motorcyclist as x + 9 hours.

We are also given that the motorcyclist and the cyclist met each other 2 hours and 24 minutes after their departure. We can convert 2 hours and 24 minutes to hours by dividing it by 60: 2 + 24/60 = 2.4 hours.

To find the time spent by the cyclist traveling from city B to city A, we can set up the following equation:

x + (x + 9) = 2.4

Simplifying the equation, we get:

2x + 9 = 2.4

Subtracting 9 from both sides, we have:

2x = 2.4 - 9

2x = -6.6

Dividing both sides by 2, we get:

x = -3.3

Since we cannot have a negative time, we can conclude that there is no valid solution to this problem. It is not possible for the cyclist to spend a negative amount of time traveling from city B to city A.

Therefore, we cannot determine how many hours the cyclist spent traveling from city B to city A.

Conclusion

Based on the given information, it is not possible to determine how many hours the cyclist spent traveling from city B to city A. The problem does not have a valid solution.