In 1 km races, runner 1 on track 1 (with time t1 = 147.95 s) appears to be faster than runner 2 on track 2 (t2 = 148.15 s). However, length L2 of track 2 might be slightly greater than length L1 of track 1. How large can L2 - L1 be for us to still conclude that runner 1 is faster?
v = L / t
The Attempt at a Solution
I got it down to L2t1 - L1t2 < 0, but can't figure out how to get L2 - L1 out. I know I probably have to use the fact that L is approximately 1 km, but I'm not seeing how to do it.