Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

Page 375

178
GANITASARASANGRAHA.
An example in illustration thereof.
323. A person travels with velocities beginning with 4, and Increasing (successively) by the common difference of 8. Again, a second person travels with velocities beginning with 10, and increasing (successively) by the common difference of 2. What is the time of their meeting?
The rule for arriving at the time of meeting of two persons (starting at the same time and travelling in the same direction with varying velocities in arithmetical progression), the common difference (in the one case) being positive, and (in the other) negative:
324. The difference between the two first terms is divided by half of the sum of the numbers representing the two (given) common differences, and (then) one is added (to the resulting quantity). This becomes the time of meeting on the way by the two persons (starting at the same time and) travelling simultaneously (with velocities in arithmetical progression, the common difference in the one case being positive and in the other negative).
An example in illustration thereof.
3254. The first man travels with velocities beginning with 5, and increased (successively) by 8 as the common difference. In the case of the second person, the commencing velocity is 45, and the common difference is minus 8. What is the time of meeting ?
The rule for arriving at the time of meeting of two persons, (starting at different times and) travelling (respectively) with a quicker and a less quick velocity (in the same direction) -
326. He who travels less quickly and ho who travels more quickly-both move in the same direction. What happens to be the distance to be overtaken here is divided by the difference between those (two) velocities. In the course of the number of days represented by the quotient (here), the more quickly moving person goes to the less quickly moving one.
324. Compare this with the rule given in 322 above.