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In a 100 m race, Tina beats Mina by 20 m and in the same race Mina beats Rita by 10 m. By what distance does Tina beat Rita?

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24 m

28 m

42 m

36 m

answer is B.

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Detailed Solution

Tina : Mina = 100 : 80

Mina : Rita = 100 : 90

Tina $\div$ mina $\times$ mina $\div$ Rita=100 $\div$ 80 $\times$ 100 $\div$ 90 $\to$ tina:rita=100/72

Tina beats Rita by 100 - 72 = 28 m

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