Question: I need help with another HARD math problem..........? Jamie ran two laps around a track in 99 s. How long did it take him to run each lap if he ran the first lap at 8.5 m/s and the second at 8.0 m/s?

Answer: x=time to run at 8.5 m/s\n99-x=time to run at 8.0 m/s\n1st lap length = 8.5x\n2nd lap length= 8(99-x)\n\nsince the length are the same\n8.5x=8(99-x)\n8.5x=792-8x     add 8x to both sides\n+8x        +8x\n16.5x=792         divide by 16.5 on both sides\nx=48\n99-x=51\n\nHe runs the first lap in 48 sec, and the second lap in 51 sec
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