arman and his dad are leaving early in the moming for his lacrosse toumament, Thei
210 miles from the toumament. They plan to stop and eat after 2 hours of driving, tha
mplete the rest of the trip. Herman’s dad plans to drive at an average speed of 50 mil
er hour. How long will the second part of the trip take?
Write your answer as a whole number or a decimal.

Question

UpStudy AI · Accepted Answer

To determine how long the second part of Arman and his dad's trip will take, let's break down the information:

1. **Total Distance**: 210 miles
2. **Driving Speed**: 50 miles per hour
3. **First Part of the Trip**: They drive for 2 hours before stopping to eat.

**Step 1: Calculate the Distance Covered in the First 2 Hours**
$$ \text{Distance} = \text{Speed} \times \text{Time} $$
$$ \text{Distance} = 50 \, \text{mph} \times 2 \, \text{hours} = 100 \, \text{miles} $$

**Step 2: Determine the Remaining Distance**
$$ \text{Remaining Distance} = \text{Total Distance} - \text{Distance Covered} $$
$$ \text{Remaining Distance} = 210 \, \text{miles} - 100 \, \text{miles} = 110 \, \text{miles} $$

**Step 3: Calculate the Time for the Remaining Distance**
$$ \text{Time} = \frac{\text{Distance}}{\text{Speed}} $$
$$ \text{Time} = \frac{110 \, \text{miles}}{50 \, \text{mph}} = 2.2 \, \text{hours} $$

**Answer:**  
2.2
The second part of the trip will take 2.2 hours.

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