Herman and his dad are leaving early in the morning for his lacrosse tournament. Their house is 210 miles from the tournament. They plan to stop and eat after 2 hours of driving, then complete the rest of the trip. Herman's dad plans to drive at an average speed of 60 miles per hour. How long will the second part of the trip take?

Question

Write your answer as a whole number or a decimal.

Answer 1

To determine how long the second part of the trip will take, we first need to calculate how far Herman and his dad travel in the first 2 hours and then find out how far they have left to go.

1. Distance traveled in the first 2 hours: $$\text{Distance}=\text{Speed}\times \text{Time}=60\text{ miles per hour}\times 2\text{ hours}=120\text{ miles}$$

2. Total distance to the tournament: $$\text{Total distance}=210\text{ miles}$$

3. Distance remaining after 2 hours: $$\text{Remaining distance}=\text{Total distance}-\text{Distance traveled}=210\text{ miles}-120\text{ miles}=90\text{ miles}$$

4. Time to complete the second part of the trip: To find out how long it will take to travel the remaining 90 miles at a speed of 60 miles per hour, we use the formula: $$\text{Time}=\frac{\text{Distance}}{\text{Speed}}=\frac{90\text{ miles}}{60\text{ miles per hour}}=1.5\text{ hours}$$

So, the second part of the trip will take 1.5 hours.