Question

От Мурома до Киева 1140 км.Богатырь шёл пятую часть пути пешком,а оставшейся пути верхом.Пешком он шёл 6 дней.Сколько километров в день проходил богатырь пешком и сколько верхом,если весь путь он проделал за 14 дней.

Answer 1

1140км:1/5=228км прошёл пешком
228:6=38км проходил в день.
14-6=8 дней ехал верхом
1140-228=912км проехал верхом
912:8=114км в день проезжал верхом  

Answer 2

Problem Analysis

We are given that the distance from Murom to Kiev is 1140 km. The bogatyr (hero) walked the first fifth of the distance on foot and the remaining distance on horseback. The bogatyr walked for 6 days and completed the entire journey in 14 days. We need to determine how many kilometers the bogatyr walked each day and how many kilometers he traveled on horseback each day.

Solution

Let's calculate the distance the bogatyr walked on foot and on horseback.

The bogatyr walked the first fifth of the distance on foot, which is (1/5) * 1140 km = 228 km.

The remaining distance traveled on horseback is 1140 km - 228 km = 912 km.

The bogatyr walked for 6 days and completed the entire journey in 14 days. Let's calculate the average distance he walked each day and the average distance he traveled on horseback each day.

The average distance walked each day is 228 km / 6 days = 38 km/day.

The average distance traveled on horseback each day is 912 km / (14 days - 6 days) = 912 km / 8 days = 114 km/day.

Therefore, the bogatyr walked 38 km/day on foot and traveled 114 km/day on horseback.

Answer

The bogatyr walked 38 km/day on foot and traveled 114 km/day on horseback.

Note: The sources used for this response are