SOLUTION: I ran two laps around a track in 99 seconds. how long did it take me to run each lap if I ran the first lap at 8.5m/s and the second lap at 8.0 m/s?

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Question 996662: I ran two laps around a track in 99 seconds. how long did it take me to run each lap if I ran the first lap at 8.5m/s and the second lap at 8.0 m/s?
Found 2 solutions by KMST, lwsshak3:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
d= length of one lap, in meters
d%2F8.5= time for the first lap, in seconds
d%2F8= time for the second lap, in seconds
So,
d%2F8.5%2Bd%2F8=99
%288d%2B8.5d%29%2F%288.5%2A8%29=99
16.5d%2F68=99
d=99%2A68%2F16.5
d%2F8=99%2A68%2F%2816.5%2A8%29
d%2F8=highlight%2851%29= time for the second lap, in seconds,
and
99-51=highlight%2848%29= time for the first lap, in seconds.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
I ran two laps around a track in 99 seconds. how long did it take me to run each lap if I ran the first lap at 8.5m/s and the second lap at 8.0 m/s?
let x=travel time of 1st lap
99-x=travel time of 2nd lap
distance=travel time*speed (same for both laps)
8.5x=8(99-x)
8.5x=792-8x
16.5x=792
x=48
99-x=51
run time of 1st lap=48 sec
run time of 2nd lap=51 sec