Logic Puzzles · Billy-B

Logic Puzzle #55

From Billy-B's legendary 1001 Puzzle Collection — preserved on Puzz.com since 1998.

Puzzle #55
8 kips & 14 ligs can build 510 tors in 10 hours, & 13 kips & 6 ligs can build 492 tors in 12 hours. At what rates do kips & ligs build tors? Express your answers in tors per hour.
Reveal Answer
This problem can be solved algebraically: 10 (8k + 14l) = 510 and 12 (13k + 6l) = 492. You then isolate 1 variable in 1 equation, & substitute it in the other equation — Kips build 2 tors an hour, & ligs build 2.5 tors an hour.

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