Question

Из пункта А в пункт В выехал мотоциклист и одновременно из В в А выехал автомобилист. мотоциклист прибыл в В через 2ч. после встречи, а автомобилист в А через 30мин. после встречи. сколько часов был в пути мотоциклист?

Answer 1

Va - скорость авто
Vm - скорость мото
t - время до встречи

0,75 * Va = t * Vm
t * Va = 3 * Vm

0,75 / t = t / 3
t*t = 9/4
t=1,5

Время в пути автомобилиста: t+0,75 , т.е.: 1,5+0,75=2,25 грн

Ответ: 2ч 15 мин

Answer 2

Calculation of the Travel Time for the Motorcyclist

To calculate the travel time for the motorcyclist, we need to consider the information provided. The motorcyclist and the motorist both started their journeys simultaneously, with the motorcyclist traveling from point A to point B, and the motorist traveling from point B to point A.

According to the given information, the motorcyclist arrived at point B 2 hours after the encounter, while the motorist arrived at point A 30 minutes after the encounter.

To find the travel time for the motorcyclist, we need to determine the time of the encounter. Since the motorist arrived at point A 30 minutes after the encounter, we can subtract 30 minutes from the motorcyclist's travel time to find the encounter time.

Therefore, the encounter time is 2 hours - 30 minutes = 1 hour and 30 minutes.

Now, we can calculate the travel time for the motorcyclist by subtracting the encounter time from the total time it took for the motorcyclist to reach point B.

Let's calculate the travel time for the motorcyclist:

Total time for the motorcyclist = 2 hours (given) Encounter time = 1 hour and 30 minutes (calculated)

Travel time for the motorcyclist = Total time - Encounter time

Travel time for the motorcyclist = 2 hours - 1 hour and 30 minutes

To subtract the time, we need to convert 1 hour and 30 minutes to hours. Since there are 60 minutes in an hour, we can convert 30 minutes to hours by dividing it by 60.

30 minutes / 60 = 0.5 hours

Now, we can subtract 1 hour and 0.5 hours from 2 hours to find the travel time for the motorcyclist.

Travel time for the motorcyclist = 2 hours - 1 hour - 0.5 hours

Travel time for the motorcyclist = 0.5 hours

Therefore, the motorcyclist was on the road for 0.5 hours or 30 minutes.