Question

Из Москвы в Петербург выехал пассажирский поезд со скоростью 80 км / ч.Через сколько часов после выезда пассажирского поезда и на каком расстоянии от Москвы они встретятся, если четверть расстояния между Москвой и Петербургом равна 200 км?

Answer 1

1) 80*6=480 (км)-прошел поезд из москвы в питер
2) 85*6=510 (км)-прошел поезд из питера в москву
3) 480-(705-510)=285 (км)-расстояние между поездами через 6 часов
ответ: 285 км....

Answer 2

Calculation of Meeting Time and Distance

To calculate the time and distance at which the passenger train from Moscow and St. Petersburg will meet, we need to consider the given information:

- The passenger train is traveling at a speed of 80 km/h. - The quarter distance between Moscow and St. Petersburg is 200 km.

To find the meeting time, we can use the formula:

Time = Distance / Speed

Let's calculate the meeting time:

Time = (1/4) * 200 km / 80 km/h

Time = 0.25 * 200 km / 80 km/h

Time = 50 km / 80 km/h

Time = 0.625 hours

To convert the meeting time from hours to minutes, we can multiply it by 60:

Meeting Time = 0.625 hours * 60 minutes/hour

Meeting Time = 37.5 minutes

Therefore, the passenger train from Moscow and St. Petersburg will meet approximately 37.5 minutes after the departure of the passenger train.

To find the distance at which they will meet, we can multiply the meeting time by the speed of the passenger train:

Distance = Speed * Time

Distance = 80 km/h * 0.625 hours

Distance = 50 km

Therefore, the passenger train from Moscow and St. Petersburg will meet at a distance of approximately 50 km from Moscow.

Please note that the above calculations are based on the given information and assumptions.