Question

Из пункта А в пункт В выехал мотоциклист и одновременно из В в А выехал автомобилист. Мотоциклист прибыл в В через 2 часа после встречи, а автомобилист в А через 30 минут после встречи. Сколько часов был в пути мотоциклист?Как решить? Я знаю что ответ: 3

Answer 1

Х-скор. Мотоц. 
У-скор.авто 
S/(х+у)-время до встречи 
Sх/(х+у)-проехал мотоц. До встречи и авто после 
Sу/(х+у)-проехал авто до встречи и мото после 
Sу/х(х+у)=2 (1)-время мото после встречи 
Sх/у(х+у)=0,5 (2)-время 
авто после встречи. 
Делим первое на второе: 
у^2/х^2=4; 
у/х=2; 
у=2х, подставляем в первое: 
2S/(х+у)=2; 
S/(х+у)=1; 
t=t1+t2; 
t=1+2=3 ч

Answer 2

Problem Analysis

We have a situation where a motorcyclist and a car driver start simultaneously from point A and point B, respectively. The motorcyclist arrives at point B 2 hours after the meeting, while the car driver arrives at point A 30 minutes after the meeting. We need to determine how long the motorcyclist was on the road.

Solution

Let's assume that the meeting between the motorcyclist and the car driver happened at time t=0.

We know that the motorcyclist arrived at point B 2 hours after the meeting. Therefore, the time it took for the motorcyclist to travel from point A to point B is 2 hours.

We also know that the car driver arrived at point A 30 minutes after the meeting. Therefore, the time it took for the car driver to travel from point B to point A is 30 minutes.

To find the total time the motorcyclist was on the road, we need to add the time it took for the motorcyclist to travel from point A to point B and the time it took for the car driver to travel from point B to point A.

Let's convert the time taken by the car driver to hours. Since there are 60 minutes in an hour, 30 minutes is equal to 0.5 hours.

Therefore, the total time the motorcyclist was on the road is 2 hours + 0.5 hours = 2.5 hours.

So, the motorcyclist was on the road for 2.5 hours.

Answer

The motorcyclist was on the road for 2.5 hours.