# Sana and Fatima participated in an apple race. The race was conducted in 6 parts. In the first part, Sana won by 10 seconds. In the second part she lost by 1 minute, then won by 20 seconds in the third part and lost by 25 seconds in the fourth part, she lost by 37 seconds in the fifth part and won by 12 seconds in the last part. Who won the race finally?

We are given:

Sana and Fatima are two participants in an apple race.

The race is conducted in 6 parts.

To calculate the end result, let difference in time be denoted positive, when Sana wins and negative, Sana loses (that is, Fatima wins).

Let’s find difference in time taken from Sana’s context:

Total difference in time taken by Sana in all parts = (Sana wins by 10 s) + (Sana loses by 1 min(=60 s)) + (Sana wins by 20 s) + (Sana loses by 25 s) + (Sana loses by 37 s) + (Sana wins by 12 s)

Total difference in time taken by Sana in all parts = 10 + (-60) + 20 + (-25) + (-37) + 12

Total difference in time taken by Sana in all parts = 10 – 60 + 20 – 25 – 37 + 12

Total difference in time taken by Sana in all parts = -80

The minus indicates that Sana has lost in the end by 80 seconds.

Thus, Fatima wins the race finally.

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