Add all the known times together
6 + 5 + 5 + 6 + 5 = 27 min
2 + 53 + 45 + 0 + 34 = 134 s = 2 min 14 s
So......the total of her times = 29 min 14s
34 s = 14/60 ≈ .23 min
So....her total times so far ≈ 29.23 min
And note that 5 min 50 s = 5 + 50/60 ≈ 5.83 min
So let x be the time she needs (in minutes) and we have that
29.23 + x
___________ = 5.83 multiply both sides by 6
6
29.23 + x =34.98
x = 34.98 - 29.23 = 5.75 m
And note that 5.75 m = 5 + .75(60) ≈ 5m +45s =
(5 min + 45 s) = time she needs in her 6th race