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
Say the time taken by Jamie for first lap is t1 and for second lap is t2
As Jamie ran two laps on the same track, distance covered by Jamie in each lap is same. As we know distance covered = speed×timetaken
Hence, Distance covered in each lap =8.5×t1=8.0×t2
=> 17×t1=16×t2 — (1)
Also from the question statement, total time taken by Jamie for two laps = 99s
Putting this in equation (1), we have
So, it took Jamie 48s to run the first lap and 51s to run the second lap.