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Racing track is 250 m long. Rita and Disha run a race and Rita wins by 7 metres. Disha and Shweta run over the same course and Disha wins by 5 metres. Shweta and Mina run over it and Mina wins by 20 metres. If Rita and Mina run over it, then who would win and by how much?

Racing track is 250 m long. Rita and Disha run a race and Rita wins by 7 metres. Disha and Shweta run over the same course and Disha wins by 5 metres. Shweta and Mina run over it and Mina wins by 20 metres. If Rita and Mina run over it, then who would win and by how much? Correct Answer Mina, by 8.5 metres 

As Rita beats Disha by 7 m i.e. if Rita travels 250 m Disha will travel 243 m

Similarly, Disha beat Shweta by 5 meter i.e. if Disha travels 250 m Shweta will travel 245 m

⇒ If Disha travel 243 m then Shweta travel = (243 × 245)/250 = 238.14 m

Mina beat Shweta by 20 m i.e. if Mina travels 250 m Shweta will travel 230 m.

If Shweta travels 238.14 m then Mina travels = (238.14 × 250)/230 = 258.85 m

∴ If Mina and Rita run a race, Mina will win race by = 258.85 - 250 = 8.5 m

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