Question

Поезд был в пути 32часа. 3/4 этого времени он шёл со скоростью 60 км/час , а остальное время-со скоростью 55км/час. Какое расстояние прошёл поезд

Answer 1

1) 3/4 · 32 = 32 : 4 · 3 = 24 ч - двигался со скоростью 60 км/ч;

2) 60 · 24 = 1440 км - проехал поезд за 24 часа;

3) 32 - 24 = 8 ч - двигался со скоростью 55 км/ч;

4) 55 · 8 = 440 км - проехал поезд за 8 часов;

5) 1440 + 440 = 1880 км - весь путь поезда за 32 часа.

Ответ: 1880 км.

Answer 2

Calculation of Distance Traveled by the Train

To calculate the distance traveled by the train, we need to determine the distance covered during each segment of the journey.

Given: - Total time of the journey: 32 hours - Speed during the first 3/4 of the time: 60 km/h - Speed during the remaining 1/4 of the time: 55 km/h

Let's calculate the distance traveled during each segment.

1. Distance traveled at a speed of 60 km/h: - Time spent at this speed: 3/4 * 32 hours = 24 hours - Distance traveled at this speed: 60 km/h * 24 hours = 1440 km.

2. Distance traveled at a speed of 55 km/h: - Time spent at this speed: 1/4 * 32 hours = 8 hours - Distance traveled at this speed: 55 km/h * 8 hours = 440 km.

Therefore, the train traveled a total distance of 1440 km + 440 km = 1880 km.

Please note that the above calculation assumes a constant speed throughout each segment of the journey and does not account for any stops or variations in speed.