Question

Shawn's engineering club is taking a trip by bus to a robotics fair. The fair is 175 miles from Shawn's school. The bus driver plans to stop and refuel after 2 hours, then complete the trip. 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?

Answer 1

To determine how many hours the second part of the trip will take, we first calculate how far the bus will travel in the first 2 hours.

1. **Calculate distance traveled in the first 2 hours**:
\[
\text{Distance} = \text{Speed} \times \text{Time} = 50 \, \text{miles/hour} \times 2 \, \text{hours} = 100 \, \text{miles}
\]

2. **Calculate the remaining distance to the fair**:
The total distance to the fair is 175 miles. After traveling 100 miles, the remaining distance is:
\[
\text{Remaining distance} = 175 \, \text{miles} - 100 \, \text{miles} = 75 \, \text{miles}
\]

3. **Calculate the time needed to cover the remaining distance**:
We use the average speed to find the time required to travel the remaining 75 miles:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{75 \, \text{miles}}{50 \, \text{miles/hour}} = 1.5 \, \text{hours}
\]

Thus, the second part of the trip will take \( \boxed{1.5} \) hours.