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Explanation:

Ratio of speeds of Riya and Prerna = 3 : 2

Let Prerna run P meters before Riya catches up with her. 
⇒ Distance travelled by Riya = P + 100

∴ Distance covered by RiyaDistance covered by Prerna = P+100P = 32

⇒ 2P + 200 = 3P

⇒ P = 200

∴ Distance travelled by Riya = P + 100 = 300 meters.

Hence, option (b).

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