Your car can drive 410 miles on a tank of 26 gallons.
How far can it drive on 52 gallons?
Round your answer to the nearest mile.
52 gallons	 
×
 		= 
1	
How many gallons are needed to drive 1,630 miles?
Round your answer to the nearest tenth of a gallon.
1,630 miles	 
×
 		= 
1	


Let's solve both parts of the problem step by step.

### Part 1: How far can the car drive on 52 gallons?
1. **Find the miles per gallon (MPG):**
   \[
   \text{MPG} = \frac{410 \text{ miles}}{26 \text{ gallons}} = 15.7692 \text{ miles per gallon (rounded to 4 decimal places)}
   \]

2. **Calculate the distance the car can drive on 52 gallons:**
   \[
   \text{Distance} = \text{MPG} \times 52 \text{ gallons} = 15.7692 \times 52 = 819.2 \text{ miles}
   \]

   Rounded to the nearest mile, the car can drive **819 miles** on 52 gallons.

### Part 2: How many gallons are needed to drive 1,630 miles?
1. **Using the MPG calculated earlier:**
   \[
   \text{Gallons needed} = \frac{1630 \text{ miles}}{15.7692 \text{ miles per gallon}} = 103.4 \text{ gallons}
   \]

   Rounded to the nearest tenth, the car would need **103.4 gallons** to drive 1,630 miles.

### Summary:
- **Distance for 52 gallons:** 819 miles
- **Gallons needed for 1,630 miles:** 103.4 gallons

Would you like more details, or do you have any questions?

Here are 5 related questions to expand on this topic:
1. If the car's fuel efficiency improved to 20 MPG, how far could it drive on 52 gallons?
2. How many gallons would be needed to drive 500 miles if the MPG was 12?
3. If you only had 10 gallons left, how far could you drive at 15.7692 MPG?
4. What is the MPG if a car can drive 600 miles on 30 gallons?
5. How many miles can the car drive on a quarter tank if the tank holds 26 gallons?

**Tip:** Knowing your car's miles per gallon (MPG) is essential for planning long trips and managing fuel costs effectively.

Learn how to solve distance and fuel efficiency problems involving 52 gallons and 1,630 miles. Calculate how far a car can drive on 52 gallons and how many gallons are needed to cover 1,630 miles with detailed step-by-step solutions. Suitable for students in Grades 6-8.

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