Book Title: Ganitasara Sangraha of Mahavira
Author(s): Rangacharya
Publisher: Rangacharya

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Page 379
________________ CHAPTER VI--MIXED PROBLEMS. 177 1 "B) 319. The unchanging velocity is diminished by the first torni (of the velocities in sories in arithmetical progression), and is (then) divided by the half of the commou difference. On adding one (to the resulting quantity), the (required) time (of moeting) is arrived at. (Where two porsons travel in opposite directious, cach with a detinite velocity), twice (thio Avoruge distanco to bo covered by cjther of thom) is the whole) way to he travelled). This when divided by the sum of their volocitios gives rise to the time of (their) meeting. An example in illustration thereof. 320. A certain person yoes with a velocity of 3 in the beginning increased (rogularly) by 8 as the (nuccosive) conmon differonoo. The stond y luchanging velocity (of another person) is 21. What may he the time of their meeting (again, if they start from tho simo place, at the same time, and move in the same direction) An example in illustration of the latter half (or the rule yiten in the stanza alove). 321-321. One man travels at the rate of Oyonnux and another at the rate of 3 yojiinas. The average) distance to be covered by either of them moving in opposite directions in 108 yojanas. O arithmetician, toll me quickly what the time of their meeting toyether is. The rule for arriving at the time and distance of merting together, (when two persous start from the sume place at the same time And travel with varying) velocities in arithmetical progression. 322). The difference between the two first terms divided by the difference between the two common differences, when multiplied by furu and increased by one, gives rise to the line of coming together on the way by the two person travelling simultaneously (with two series of velocities varying in arithmetical progression). + 1 = 1, whero in the unchanging volucity, 319. Algebraically(-) + and the time. 3924. Algeyraioally, n=% %* 2+ ). 23

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