पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/३७६

178 GANITASARASANGRAILA An example in illustration thereof 3231. A person travels with velocities beginning with , and Increasing (successively) by the common difference of 8 Agaiu, a second person travels with velocities begmuing 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 differ- ence (in the one case) being positive, and (in the other) negative :-- 3243. The difference between the two first terms is divided by half of the sum of the numbers representing the two (given) common differences, and (theu) one is added (to the resulting quan- t:ty) 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 ilustration thereof. 325. The first mau travels with velocitics 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 persous, (starting at different times and) travelling (respectively) with a quicker and a less quick velocity (in the same direction) 3261. He who travels less quickly and he 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 ahove