Problem Breakdown:

1. Given Information:

   • Distance to destination: 90 miles.
   • Gas tank status: One-quarter full.
   • Total tank capacity: 12 gallons.
   • Car fuel efficiency: 25 miles per gallon.

2. Calculations:

   • Fuel Remaining: Since the tank is one-quarter full, the remaining gas is: $\text{Remaining gas} = \frac{1}{4} \times 12 \, \text{gallons} = 3 \, \text{gallons}$
   • Distance the car can travel with the remaining fuel: $\text{Distance possible} = 3 \, \text{gallons} \times 25 \, \text{miles per gallon} = 75 \, \text{miles}$

3. Comparison:

   • The car can travel 75 miles with the remaining fuel, but the destination is 90 miles away.

Units Involved:

• Miles (distance)
• Gallons (fuel)
• Miles per gallon (fuel efficiency)

Answer:

• The answer should be in miles to determine if the remaining distance the car can travel (in miles) is enough to cover the distance to the destination (also in miles).

Conclusion:

• Yes, you need to stop for gas because your car can only travel 75 miles, but the destination is 90 miles away.

---

Would you like more details or have any questions?

Here are 5 related questions to consider:

1. How much more gas do you need to reach the destination?
2. What if the fuel efficiency of the car decreases to 20 miles per gallon?
3. How would the outcome change if the gas tank was half full?
4. How much fuel would be left if the destination was only 60 miles away?
5. What if the gas tank capacity was 15 gallons instead of 12?

Tip: Always check both the distance you can travel and the remaining distance when planning long trips to avoid running out of fuel.