24. 13 kigs and 6 libs can produce 510 tors in 10 hrs, 8 kigs and 14 libs can produce 484 tors in 12 hrs.Find the rate of production of tors for kigs and libs. Express the answer in tors/hr.

2 Answers on this Question

1. for 13 kigs and 6 libs per hr = 51 tors
   for 8 kigs and 14 libs per hr = 40.3 tors
   for 5 kigs and 8 libs per hr = 10 tors
   13x + 6y = 51—91x + 42y = 357
   8x + 14y = 40–4x + 7y =20–24x + 42y = 120
   => 67x = 237
   x = 3.53
   y= 2.29
   so 6 tors / hr

   Reply

2. 13 Kigs & 6 Libs –> 510tors in 10hrs
   ” –> 51 tors/hr
   14 Libs –> 484 tors in 12hrs
   ” –> 121/3 tors/hr
   1 Lib –> 121/42 tors/hr
   ==> 6 Libs –> 121/7 tors/hr
   Now,
   13 kigs and 6 Libs –> 51 tors/hr
   Only 13 Kigs –> 51 – (121/7) tors/hr
   = 236/91 tors/hr

   Reply