Question

Из поселка в город. растояние между которыми 240 км . выехал мотоциклист стначала он ехал по проселочной дороге со скоростью 40 км в час а затем по щоссе со скоростью 60 км в час сколько минут мотоциклист ехал по шоссе если по проселочной дороге он ехал 30 минут дольше чем по шоссе

Answer 1

30 мин = 0,5 часа
х - время по шоссе
х + 0,5 - время по проселочной дороге
40(х + 0,5) + 60х = 240
40х + 20 + 60х = 240
100х = 240 - 20
100х =220
х = 220 : 100
х = 2,2 (ч) - время по шоссе.
2,2 часа = 2,2 · 60 мин = 132 мин
Ответ: 132 минуты ехал мотоциклист по шоссе.

Answer 2

Пусть х час - время по шоссе
Тогда:
(х+0,5) час - время по грунтовке
60х км - проехал по щоссе
40(х+0,5) км - проехал по грунтовке
60х+40(х+0,5)=240
60х+40х+20=240
100х=220
х=2,2 (час)
2,2 часа = 132 мин
Ответ: мотоциклист ехал по шоссе 132 минуты

Answer 3

Calculation of Time Spent on the Highway

To calculate the time spent by the motorcyclist on the highway, we need to determine the distance traveled on the dirt road and the highway, as well as the respective speeds.

Given: - Distance between the village and the city: 240 km - Speed on the dirt road: 40 km/h - Speed on the highway: 60 km/h - Time spent on the dirt road: 30 minutes longer than on the highway

Let's calculate the time spent on the dirt road first.

The formula to calculate time is: Time = Distance / Speed

The distance traveled on the dirt road can be calculated by subtracting the distance traveled on the highway from the total distance.

Distance on the dirt road = Total distance - Distance on the highway

Distance on the dirt road = 240 km - Distance on the highway

Now, let's calculate the time spent on the dirt road.

Time on the dirt road = Distance on the dirt road / Speed on the dirt road

Time on the dirt road = (240 km - Distance on the highway) / 40 km/h

Since we know that the time spent on the dirt road is 30 minutes longer than on the highway, we can set up the following equation:

Time on the dirt road = Time on the highway + 30 minutes

Now, let's calculate the time spent on the highway.

Time on the highway = Time on the dirt road - 30 minutes

Time on the highway = (240 km - Distance on the highway) / 40 km/h - 30 minutes

To solve for the distance on the highway, we can substitute the equation for time on the highway into the equation for time on the dirt road:

(240 km - Distance on the highway) / 40 km/h = [(240 km - Distance on the highway) / 40 km/h - 30 minutes] + 30 minutes

Simplifying the equation:

(240 km - Distance on the highway) / 40 km/h = (240 km - Distance on the highway) / 40 km/h - 30 minutes / 60 minutes

Converting 30 minutes to hours:

(240 km - Distance on the highway) / 40 km/h = (240 km - Distance on the highway) / 40 km/h - 0.5 hours

Now, let's solve the equation for the distance on the highway.

(240 km - Distance on the highway) / 40 km/h - (240 km - Distance on the highway) / 40 km/h = -0.5 hours

Simplifying the equation further:

(240 km - Distance on the highway) / 40 km/h - (240 km - Distance on the highway) / 40 km/h = -0.5

Since the denominators are the same, we can combine the fractions:

(240 km - Distance on the highway - 240 km + Distance on the highway) / 40 km/h = -0.5

Simplifying the equation:

0 = -0.5

The equation has no solution, which means there is an error in the given information or calculation. Please double-check the values provided and try again.

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