Wild Horses is one of the 76 Side Quests in The Legend of Zelda: Breath of the Wild. It starts at Dueling Peaks Stable in the Dueling Peaks Region.
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Speak to Rensa who asks Link to catch a horse and bring it back within two minutes.
See - How to Catch a Horse for tips.
Once have caught a horse and tamed it, bring it back to Rensa to claim your Purple Rupee (50) reward.
