Question

путешественники проехали всего 860 км , из них на автобусе на 460 км меньше , чем на поезде . сколько часов они были в пути , если скорость автобуса 50 км ч , а поезда 66 км ч

Answer 1

1) 860 - 460 = 400(км)
2) 400 : 2 = 200 (км)- проехали на автобусе
3) 200 + 460 = 660 (км)- проехали на поезде
4) 200 : 50 = 4 (ч) -на автобусе
5) 660 : 66 = 10 (ч)- на поезде
6) 4 + 10 = 14 (ч) в пути
Ответ:  14 часов путешественники были в пути.

Answer 2

Problem Analysis

We are given that a group of travelers covered a total distance of 860 km. They traveled 460 km less by bus than by train. The speed of the bus is 50 km/h, and the speed of the train is 66 km/h. We need to find the total time they spent traveling.

Calculation

Let's calculate the distance traveled by the train and the bus.

Distance traveled by the train = Total distance - Distance traveled by the bus Distance traveled by the train = 860 km - 460 km = 400 km

Now, let's calculate the time taken by the train and the bus.

Time taken by the train = Distance traveled by the train / Speed of the train Time taken by the train = 400 km / 66 km/h = 6.06 hours (rounded to two decimal places)

Time taken by the bus = Distance traveled by the bus / Speed of the bus Time taken by the bus = 460 km / 50 km/h = 9.20 hours (rounded to two decimal places)

Finally, let's calculate the total time spent traveling.

Total time spent traveling = Time taken by the train + Time taken by the bus Total time spent traveling = 6.06 hours + 9.20 hours = 15.26 hours (rounded to two decimal places)

Answer

The travelers were in transit for approximately 15.26 hours.

Explanation

The travelers covered a total distance of 860 km. They traveled 460 km less by bus than by train. The speed of the bus is 50 km/h, and the speed of the train is 66 km/h. By calculating the distances traveled by the train and the bus, we find that the train covered 400 km and the bus covered 460 km. Using the formula Time = Distance / Speed, we calculate the time taken by the train and the bus. The train took approximately 6.06 hours, and the bus took approximately 9.20 hours. Adding these times together, we find that the total time spent traveling was approximately 15.26 hours.