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Question
during vacation, dave and his brother, scott, rode their bikes from their familys rental house to a pond to go fishing. although they left the rental house together, dave arrived at the pond a few minutes before scott. this weekend, they plan to ride a nearby mountain trail and turn back after an hour if they cant complete it. who will likely ride farther along the mountain trail? dave scott submit
From the previous event, Dave arrived at the pond before Scott when they left together, meaning Dave's biking speed is likely faster (since distance to pond is same, less time means higher speed: \( \text{speed} = \frac{\text{distance}}{\text{time}} \), lower time \( t \) for same \( d \) gives higher \( v \)). For the mountain trail, in 1 hour (same time \( t \)), distance \( d = v \times t \). Since Dave’s speed \( v \) is higher, his distance \( d \) will be greater. So Dave will likely ride farther.
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