Lauren's science class is taking a field trip to the nearest natural history museum. The museum is 62.5 miles from Lauren's school. The class plans to stop after 30 minutes, or 0.5 hours, to visit a local wildlife refuge. The bus driver plans to drive at an average speed of 50 miles per hour. How many hours will the second part of the trip take?


To calculate how many hours the second part of the trip will take, we need to break down the problem:

1. The total distance from Lauren's school to the museum is 62.5 miles.
2. After the class stops, they have already traveled for 30 minutes, or 0.5 hours.
3. The bus is traveling at an average speed of 50 miles per hour.

### Step 1: Find the distance traveled in the first part of the trip.
The distance the bus travels in 0.5 hours at 50 miles per hour is:
\[
\text{Distance} = \text{Speed} \times \text{Time} = 50 \, \text{miles per hour} \times 0.5 \, \text{hours} = 25 \, \text{miles}
\]

### Step 2: Find the remaining distance to the museum.
The remaining distance after the stop is:
\[
\text{Remaining distance} = 62.5 \, \text{miles} - 25 \, \text{miles} = 37.5 \, \text{miles}
\]

### Step 3: Calculate the time for the second part of the trip.
To find the time it takes to travel the remaining 37.5 miles at 50 miles per hour, use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{37.5 \, \text{miles}}{50 \, \text{miles per hour}} = 0.75 \, \text{hours}
\]

Thus, the second part of the trip will take **0.75 hours**.

Would you like more details or have any questions?

Here are 5 related questions for practice:
1. How long would the second part of the trip take if the bus traveled at 60 miles per hour?
2. What would be the total travel time if the bus didn't stop at the wildlife refuge?
3. How far would the bus travel in 0.75 hours at a speed of 55 miles per hour?
4. If the wildlife refuge was 10 miles from the school, how would the travel plan change?
5. How much time would be saved if the bus drove at 55 miles per hour instead of 50?

**Tip**: When calculating travel times, always break the journey into parts if there's a stop or speed change to avoid confusion.

Lauren's science class is taking a field trip to the nearest natural history museum. The museum is 62.5 miles from Lauren's school. The class plans to stop after 30 minutes, or 0.5 hours, to visit a local wildlife refuge. The bus driver plans to drive at an average speed of 50 miles per hour. How many hours will the second part of the trip take?

Discover how to calculate the time for the second part of a field trip using distance and speed. The problem involves a class trip, a stop at a wildlife refuge, and solving for the time it takes to travel the remaining 37.5 miles at 50 mph. Suitable for Grades 6-8.

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