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 by37 seconds in the fifth part and won by 12 seconds in the last part. Who won the race finally?

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Solution

Let winning time be a positive integer and losing time is a negative integer, as it is opposite of winning.
$1$ minute = $60$ seconds
Therefore, Sana’s total difference time with Fatima
$\begin{matrix} = 10 - 60 + 20 - 25 - 37 + 12 = 42 - 122 = - 80 Seconds \end{matrix}$
Therefore, Sana lost the race by $80$ seconds or by $1$ min $20$ seconds.
Which means Fatima, won the race.

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