
Из пункта а в пункт б выехал первый мотоциклист, из пункта б в пункт а выехал второй мотоциклист.
Первый прибыл в пункт б через 2,5 часа после встречи, а второй через 1,5 часа. Сколько времени ехал каждый мотоциклист? ПОМОГИТЕ

Ответы на вопрос

Ответ: 4 часа ехал каждый мотоциклист



Решение.
А______________С__________________В
1-й -> x x+6 <- 2-й
АС=х, ВС=х+6 2ч 24 мин = 2+24/60 = 2 и 2/5 часа = 12/5 часа
1 час 40 мин= 1 и: AC/ v1 = BC/ v2 --> x/(5(x+6) / 12) = (x+6) / (3x/5)
12x / (5(x+6)) = 5(x+6) / (3x) --> 12x*3x = 5(x+6)*5(x+6)
36x2 = 25(x+6)2 --> 6x = 5(x+6) x=30
Ответ: 30.



Calculation of Travel Time for Each Motorcyclist
To calculate the travel time for each motorcyclist, we need to consider the information provided.
Let's assume that the distance between point A and point B is the same for both motorcyclists.
According to the given information: - The first motorcyclist arrived at point B 2.5 hours after the meeting. - The second motorcyclist arrived at point A 1.5 hours after the meeting.
To find the travel time for each motorcyclist, we can subtract the time it took for them to arrive at their respective destinations from the time it took for them to meet.
Let's denote the time it took for the first motorcyclist to travel from the meeting point to point B as t1 and the time it took for the second motorcyclist to travel from the meeting point to point A as t2.
Therefore, we have the following equations:
t1 = 2.5 hours t2 = 1.5 hours
To find the total travel time for each motorcyclist, we can add the time it took for them to meet to the time it took for them to reach their destinations.
The total travel time for the first motorcyclist is t1 + t2 = 2.5 hours + 1.5 hours = 4 hours.
The total travel time for the second motorcyclist is t1 + t2 = 1.5 hours + 2.5 hours = 4 hours.
Therefore, each motorcyclist traveled for 4 hours.
Answer: - The first motorcyclist traveled for 4 hours. - The second motorcyclist also traveled for 4 hours.
Please let me know if there's anything else I can help you with!


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