In an expedition to seize his enemy's elephants, a king marched 2 yojanas the first day. Say, intelligent calculator, with what increasing rate of daily march did he proceed, since he reached his foe's city, a distance of 80 yojanas, in a week?
To find the increasing rate of the king's daily march, we need to divide the total distance traveled by the number of days it took.
The total distance traveled is 80 yojanas, and it took the king one week to reach his foe's city. Since a week has 7 days, we divide the total distance by 7 to find the average daily rate of the king's march.
80 yojanas รท 7 days = 11.43 yojanas per day (approximated to two decimal places)
Now, to find the increasing rate of the king's daily march, we compare the average daily rate to the initial daily march.
On the first day, the king marched 2 yojanas. So, the increasing rate of the daily march is:
11.43 yojanas per day - 2 yojanas per day = 9.43 yojanas per day (approximated to two decimal places)
Therefore, the king proceeded with an increasing rate of approximately 9.43 yojanas per day since he reached his foe's city in a week.