In a race, the second place finisher crossed the finish line 1 1/3 minutes after the winner. 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 winner take?

31 7/12  minutes

Step-by-step explanation:

Hi, if we subtract the time difference between the second and third place to the third place finisher's time (34 2/3 - 13/4), we obtain the second place finisher's time. (Since the third place time is equal to the second place time + the difference between the 2nd and 3rd)

If we subtract the time difference between the first and second place to the second place finisher's time, we obtain the winner's finishing time.

So, we have to subtract both differences to the third place finisher's time, to obtain the winner's finishing time.

34 2/3 - 1 1/3 - 1 3/4 =

33 1/3 - 1 3/4 =  

33 4/12 - 1 9/12 =  

32 (12/12 +4/12) - 1 9/12=

32 16/12 - 1 9/12 = 31 7/12  minutes

tangent

step-by-step explanation: