1. **State the problem:** Lauren's class is traveling 62.5 miles to a museum, stopping after 0.5 hours at a wildlife refuge. The bus speed is 50 mph. We need to find the time for the second part of the trip.
2. **Formula used:** Distance = Speed \times Time, so Time = \frac{Distance}{Speed}.
3. **Calculate distance covered in the first part:**
$$\text{Distance}_1 = 50 \times 0.5 = 25 \text{ miles}$$
4. **Calculate remaining distance for the second part:**
$$\text{Distance}_2 = 62.5 - 25 = 37.5 \text{ miles}$$
5. **Calculate time for the second part:**
$$\text{Time}_2 = \frac{37.5}{50} = 0.75 \text{ hours}$$
6. **Answer:** The second part of the trip will take **0.75 hours**.
Trip Time
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