Athletic race

In a race, the second-place finisher crossed the finish line 1 1/3 minutes after the first-place finisher. The third-place finisher was 1 3/4 minutes behind the second-place finisher. The third-place finisher took 34 2/3 minutes.
How long did the first-place finisher take?

Correct answer:

a =  31 712 = 379/12 min

Step-by-step explanation:

c=3432=34+32=334 3+2=3102+2=310434.6667 min t2=143=1+43=41 4+3=44+3=47=1.75 min  b=ct2=310447=124161221=1241621=12395=1239532.9167 min t1=131=1+31=31 3+1=33+1=341.3333 min  a=bt1=1239534=123951216=1239516=12379=12379 min=31127 min=31.5833 min

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