Question

Поезд за 9 часов должен проехать 540 км. Сначала 3 часа он ехал со скоростью 50 км/ч , за тем увеличил скорость на 5 км/ч и ехал с такой же скоростью 2 часа . с какой скоростью поезд должен ехать оставшийся путь, чтобы прибыть в пункт назначения вовремя?

Answer 1

50х3=150 км за 3 часа
50+5=55 км в ч увеличенная скорость
55х2=110 км проехал за 2 часа
3+2=5 ч был в пути
9-5=4ч осталось проехать
150+110=260 км уже проехал
540-260=280 км осталось проехать
280:4-70 км в ч необходимая скорость для оставшегося пути

Answer 2

Calculation of the Remaining Distance

To calculate the speed at which the train should travel for the remaining distance in order to arrive on time, we need to determine the distance covered in the first 5 hours and the time remaining for the remaining distance.

The train initially traveled for 3 hours at a speed of 50 km/h, covering a distance of 3 * 50 = 150 km. Then, it increased its speed by 5 km/h and traveled at the same speed for 2 hours, covering a distance of 2 * (50 + 5) = 110 km.

Therefore, the total distance covered in the first 5 hours is 150 + 110 = 260 km.

The remaining distance is 540 - 260 = 280 km.

The remaining time is 9 - 5 = 4 hours.

Calculation of the Required Speed

To calculate the speed at which the train should travel for the remaining distance, we divide the remaining distance by the remaining time:

Required speed = Remaining distance / Remaining time

Required speed = 280 km / 4 hours

Required speed = 70 km/h

Therefore, the train should travel at a speed of 70 km/h for the remaining distance in order to arrive at its destination on time.