Question

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

Answer 1

1140 ÷ 5 = 228 км - пешком за 6 дней
1140 - 228 = 912км - верхом за 8 дней
228 ÷ 6 = 38 км - пешком за 1 день
912 ÷ 8 = 114 км - верхом  за 1 день 

Answer 2

Calculation of the Distance Covered by the Bogatyr

To calculate the distance covered by the bogatyr, we need to determine the distance covered on foot and the distance covered on horseback.

Given: - Distance from Murom to Kiev: 1140 km - The bogatyr walked the first fifth of the journey on foot. - The remaining distance was covered on horseback. - The bogatyr walked for 6 days. - The entire journey took 14 days.

Let's calculate the distance covered on foot and on horseback.

Distance Covered on Foot

To find the distance covered on foot, we need to calculate one-fifth of the total distance.

One-fifth of 1140 km is calculated as follows: 1140 km / 5 = 228 km

Therefore, the bogatyr covered 228 km on foot.

Distance Covered on Horseback

To find the distance covered on horseback, we subtract the distance covered on foot from the total distance.

Total distance - Distance covered on foot = Distance covered on horseback 1140 km - 228 km = 912 km

Therefore, the bogatyr covered 912 km on horseback.

Calculation of Daily Distance Covered

To calculate the daily distance covered by the bogatyr on foot, we divide the distance covered on foot by the number of days the bogatyr walked.

Distance covered on foot / Number of days = Daily distance covered on foot 228 km / 6 days = 38 km/day

Therefore, the bogatyr covered 38 km per day on foot.

To calculate the daily distance covered by the bogatyr on horseback, we divide the distance covered on horseback by the number of days the bogatyr rode.

Distance covered on horseback / Number of days = Daily distance covered on horseback 912 km / 8 days = 114 km/day

Therefore, the bogatyr covered 114 km per day on horseback.

Summary

In summary, the bogatyr covered 228 km on foot and 912 km on horseback during the journey from Murom to Kiev. The bogatyr walked 38 km per day on foot and rode 114 km per day on horseback.

Please note that the calculations provided are based on the given information and may not be historically accurate.