There are 3 runners in the field practicing for Tokyo 2021 Olympics. During there practice each of them decided to time there 3 laps run, first lap of running, runner 1, 2 and 3 took 2t1, t2, & 3t3 respectively within 15min. , during their second lap of running, runner 1,2 and 3 took t1, t2, & 2t3 respectively within 18min. and during their last lap of running, runner 1,2 and 3 took 3t, 2t2, 4t3 respectively within 30min. The raise was finish within 63 min. How long each of the runners finished the 3 laps, and who is the fastest among them? (USE GAU-JORDAN ELIMINATION METHOD)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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III.
There are 3 runners in the field practicing for Tokyo 2021 Olympics. During there practice
each of them decided to time there 3 laps run, first lap of running, runner 1, 2 and 3 took
2tı, t2, & 3t3 respectively within 15min. , during their second lap of running, runner 1,2 and
3 took t1, tz, & 2t; respectively within 18min. and during their last lap of running, runner
1,2 and 3 took 3t, 2t2, 4t3 respectively within 30min. The raise was finish within 63 min.
How long each of the runners finished the 3 laps, and who is the fastest among them?
(USE GAU-JORDAN ELIMINATION METHOD)
Transcribed Image Text:III. There are 3 runners in the field practicing for Tokyo 2021 Olympics. During there practice each of them decided to time there 3 laps run, first lap of running, runner 1, 2 and 3 took 2tı, t2, & 3t3 respectively within 15min. , during their second lap of running, runner 1,2 and 3 took t1, tz, & 2t; respectively within 18min. and during their last lap of running, runner 1,2 and 3 took 3t, 2t2, 4t3 respectively within 30min. The raise was finish within 63 min. How long each of the runners finished the 3 laps, and who is the fastest among them? (USE GAU-JORDAN ELIMINATION METHOD)
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